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Volume 3, No. 2, April 2005.

1. Relations involving y -functions and H-functions,

    Parveen Agarwal and C.L.Koul

Abstract: In this paper three relation involving y - functions y(z) and H-functions of two variables are established. Some     known and new results  are also obtained as application of these relations

 

2. On weakly concircular Ricci symmetric manifolds,

    U.C.De and Gopal Chandra Ghosh

Abstract: The object of this paper is to study a new type of Riemannian manifold called weakly concircular Ricci-symmetric manifold.

 

3. Indefinite RK-manifolds,

    Rakesh Kumar and Nagaich,R.K

Abstract: The object of this paper is to study the axiom of coholomorphic (2p+1) – spheres for an indefinite RK- manifold.

 

4. Enumeration of non-isomorphic trellises with at most five points,

    Shashirekha Rai, S.Parameshwara Bhatta

Abstract: Computing the number of non-isomorphic lattices with p points p≥1, or to find asymptotic estimates and bounds for the rate of growth of the number of non-isomorphic lattices with p points and to enumerate all non-isomorphic lattices by their diagrams, considered purely as graphs are the questions raised by Birkhoff.These questions are also wide open for generalized lattices. The concept of a trellis was introduced by H.L.Skala and E.Fried as a non-associative generalization of a lattice. In this paper we obtain the number of non-isomorphic trellises with   at most five points by using the graph-isomorphism concept.

 

5. On a structure defined by a tensor field F(≠0) of type (1,1) satisfying

    Geeta Verma  and Ram Nivas

Abstract: Inerrability conditions of a structure defined by a tensor field  satisfying 

 

have been studied by Gadea and Cordero and others. In this paper  we have studied the structure satisfying

 

where F is a tensor of type (1,1).Certain results on integrability of such structure have also been studied.

 

6. A note on Hirschhorn’s generalization of the quintuple product identity,

   

Abstract: We demonstrate that Hirschhorn’s generalization of the quintuple product identity can be obtained by arguments employed by Hirschhorn himself to establish a generalization of Winquist’s identity.

 

7. A bijective proof of a theorem of Andrews and Lewis on partitions,

    Padmavathamma,M.Ruby Salestina and S.R.Sudarshan

Abstract: Using an identity of F.H.Jackson,Andrews and Lewis established many new  partition identities.The object of this paper is to give a bijective proof of one of these.

 

8. Certain transformations of a class of integrals involving the H-functions of several variables,

    Harish nagar,Kiran Sharma and B.B.Jaimini

Abstract: In this paper two unified integrals and their multiple integral transformation formulae involving general classes of polynomials of one and several variables with the multivariable H-functions are established.As applications of the results established here some  known and new  results are also pointed out

 

9. Brahmagupta polynomials arising from the skew-field of quarternions,

    B.Gayatridevi and R.Rangarajan

Abstract: In this paper it is shown that the Brahmagupta matrix generating Brahmagupta polynomials in two complex variables and their conjugate arises naturally from the skew field of quarternions. Number theoretic properties and special cases of Brahmagupta polynomials are described.

 

10. Convolution conditions for analytic functions in generalized pinchuk and generalized moulis classes,

    S.Latha and L Shivarudrappa

Abstract: This paper deals with the theorem concerning generalization pf some results of characterizations in terms of convolution for convex,starlike and spiral like functions.

 

11. A study of the behavior of squeeze film between annular plates,

    Rakesh M.Patel and G.M.Daheri

Abstract: This article reports on the behaviour of  squeeze film between curved annular  plates considering curvature of secant form to represent the film thickness wherein the lower plate is curved.The concerned Reynolds equation is solved with the associated boundary condition and expressions for dimensionless pressure,load carrying capacity and response time are obtained..The results are presented in graphical form.It is observed that while decreasing values of radii cause increasing values of the response time ,there is uniform disbrution of pressure and load along the plates as shown by the parabolic profiles of the graph.

 

12. On dirichlet series solutionsof ordinary differential equation,

    Ashutose Saha and S.De Sarkar

Abstract: The authors produce two illustrations of solution of ordinary linear differential equations which influence the utility of introduction of Dirichlet series solution by Das and Lahiri

 

13. Fix point theorem for weak compatible of type (A) in fuzzy metric  spaces,

    Savita Rathi and Renu Chugh

Abstract: The aim of this paper is to prove a common fix point theorem for six weak compatible mappings of type (A) in fuzzy metric space

 

14. On certain transformations of bi-basic hypergeometric series,

    Esther Christopher

Abstract: In this paper, making use of a known series identity and certain transformations of truncated basic hypergeometric series,we establish certain transformations of bi-basic hypergeometric series.

 

15. On continued fraction representations for ratio of basic hypergeometric functions,

    Remy Y. Denis, S.N.Singh and S.P.Singh

Abstract: In this paper we put on record the continued fraction representations for the ratio of   and  .We also discuss the corresponding results for the ratio of two multiple q-series and bi-basic series.

 

16. On QT AG and HF-Modules,

    Fazal Mehdi, Alveera Mehdi and Mohd. Yahya Abbasi

Abstract: A v module M is said to be  a QT AG module if every finitely generated homomorphic image of M is a direct sum of uniserial modules.In this paper we investigate  the properties shared  by a module M and its submodule .Cardinals and ordinals are  key concepts to the study  of infinite structures.Cutler  defined Fuchs 5 grpups as a group if and only if its every infinite pure sub group  is contained in a summand of the same cardinality.We generaste this concept to a module as HF –module and find a QT AG –module M is a HF-module if and only if is a HF-module

 

Volume 3,  No. 1, December 2004

1. MacMahon’s Partition Analysis X: Plane Partitions With Diagonals,

         G.E. Andrews, Peter Paule and Axel Riese

Abstract: We examine two-rowed plane partitions with a new diagonal constraints between the rows. The related generating function is an infinite product; surprisingly the numerator factors of the product are not cyclotomic polynomials.

 

2. q-Gauss summation Via Ramanujan And Combinatorics,

         Bruce C. Berndt, Ae Ja Yee               

Abstract: Two new proofs of the famous q-Gauss summation theorem are given. The first is an elaboration of a proof given by Ramanujan in his lost notebook. The second is combinatorial and uses the theory of partitions.

 

3. Rogers-Ramanujan Identities For F-Partitions,

         A.K. Agarwal and G. Narang

Abstract: Three new infinite classes of partition identities involving generalized Frobinious partitions (also called F-partitions ) and partitions with “n+t copies of n” are obtained. Some particular cases which provide Rogers-Ramanujan type identities are also discussed.

 

4. Generating Functions of The Laguerre-Bernaoulli Polynomials Involving Bilateral Series,

         M.A. Pathan

Abstract: The authors derives a newclass of generating functions for 2-variable Lagurre and Lagurre-Bernoulli polynomials involving bilateral series. By appropriately specializing a number of known or new partly unilateral and partly bilateral generating functions are  shown to follow as applications of the main results.

 

5. New Proofs of Jacobi’s Identity,

         Sen-Shan Huang and Chein-Ming Lu

Abstract: In this paper, we give two new proofs for Jacobi’s identity by using Jacobi’s triple product identity and rearrangements of infinite sums.

 

6. On Certain Bilateral q-series and Ramanujan’s Continued Fractions,

         Remy Y. Denis, S.N. Singh, Neera A. Herbert

Abstract: In this paper four equivalent continued fraction representations for  the ratio of two 2y2 ‘s have been established. Several known results of Ramanujan as well as certain new results have also been deduced as special cases of these results.

 

7. Hypergeometric Proof of A Curious Identity Of Lyons,

         Paule and Riese, C. Krattenthaler

Abstract: We give a classical hypergeometric proof of an identity of Lyons, Paule and Riese, which arose in work of Lyons and Steif on determinantal processes, and which was originally proved by the former authors by the use of computer algorithms.

 

8. Integral Formulas For The H-Functions Generalized Fractional Calculus,

         R.K. Saxena, J. Ram and D.L. Sauthar

Abstract: The object of this article is to derive the images of the product of  the H-function, in which its argument contains a factor  , and a general class of polynomials defined by  Srivastava [5] under the multiple Erdelyi-Kober operator due to Galue et al. [2, p.90]. The results obtained are general in character and includes as special cases, the results for Riemann-Liouville operator [8], Saigo operator [5] and the operator defined by Kalla and Kiryakova [3].  

 

9. On Integral Means Inequalities Involving A Certain Class Of  Integral Operators,

         R.K. Raina, Deepak Bansal

Abstract: The present paper investigates the integral means inequalities for the functions belonging to certain subclasses which are analytic in the open unit disc, and involve a class of operators of fractional integration. Several special cases and applications are also considered.

 

10. An Infinite Family Of Mock Theta Functions,

         S. Ahmad Ali

Abstract: Two new functions A(a,q) and B(b,q) have been introduced which yield the tenth order mock theta functions found in the Ramanujan’s ‘Lost’ Notebook as their particular cases. It has been shown that one of these two functions represents an infinite family of the mock theta functions associated with two mock theta functions of order ten. An identity connecting the bilateral forms of these functions have also been established.  

 

11. A Note On Certain Entries Of Ramanujan,

         Shyamli Gupta

Abstract: In this paper, we establish the generalization of entry 42 and 43 of  chapter XII of Ramanujan’s second notebook.

 

12. New Results Concerning The Analysis Of Voigt Functions,

         M. Kamarujjama, M. Khursheed Alam and Dinesh Singh

Abstract: This paper aims at presenting a set of new results concerning the analysis of Voigt functions and its generalization (or unification) from the viewpoint of integrals and series. A multiple series expansion (or generating function) of the generalized (or unified) Voigt functions are also considered by means of generating function of hyper-Bessel’s functions.

 

Volume 2 No. 3, August 2004.

1. On Abelian Type Results At ¥ And 0+ For Modified Stielitjes Transformation,

         S. B. Gaikwad, M. S. Chaudhary

Abstract: In this paper, using distributional Steiltje’s transform given in [1] which enabled us to use the strong theory of the space of tempereddistributions S/ and using notion of the quasi-asymptotic behaviorof distributions from {fÎS/, sup fÌ[0,¥)}, introduced by Zavialov  in [7], the author in [1] along with some general results for asymptotic behavior of distributional Stieltjes transform at 0 and ¥, we obtain Modified Stieltjes transformation; relation between classical Steiltjes and Modified Stieltjes transformations. Further using the Modified Stieltjes transformation, we prove some Abelian type results at ¥ and 0+ .  

 

2. An Iterative Algorithm For Implicit Complementarity Problem In Banach Space,

         K. R. Kazmi and F. A. Khan

Abstract: In this paper, we establish an equivalence relation between a class of implicit complementarity problems and a class of implicit Wiener-Hopf equations in uniformly smooth Banach space. This relation is used to suggest and analyze an iterative algorithm for finding the approximate solutions of implicit complemantarity problems. Further, we prove the existence of solutions of this class of problems and discuss the convergence of iterative sequences  generated by the iterative algorithm.

 

3. Some Fixed Point Theorems For Fuzzy Multi-Valued Mappings,

         T. Basu, Pradip Kumar Maiti

Abstract: In this paper, we have proved two fixed-point theorems for fuzzy multi-valued mappings. These are extentions of two theorems for single-valued mappings in metric space.

 

4. A Computational Study Of The Two-Layered Model For Blood Flow Through A Circular Tube Hemodialyser,

         Manoj Kumar Gupta and Sanjeev Kumar

Abstract: Hemodialysis is a very important phenomenon during the study of the blood, because it removes metabolic wastes uric acid etc. from the blood. The most of the wastes removed during the process are contained in plasma. So to analyze the hemodialysis, one must first understand the flow behavior of the blood in the tubes, therefore, we are considering a two-layered model of the blood flow through a circular tube hemodialyser. Since the viscosity of the plasma layer near the wall acts as a natural lubricant for the blood flow. In dialysis, we have flows in which have peripheral plasma layer with  less red cells. Such flows are called two layered. Since red blood cells contain an iron compound, so the blood may be considered as  a magnetic flow. It has been already studied that a magnetic field  can push red cells away from the hemodialyser membrane, see [1,3-5]. We solved numerically this problem using the finite difference  techniques and obtained the result for blood velocity for the different values of pressure force. For related work, see [2].

 

5. On Generalized Implicit Vector Variational-Like Inequalities,

         Abdul Khaliq and Sonam Krishan

Abstract: In this paper, we introduce a class of generalized implicit vectorvariational-like inequality problems in Hausdorff topologicalvector spaces which contain implicit vector equilibrium problems, implicit vector variational inequalities and implicit vector complementarity problems as special cases. We derive some new existence results by using KKM-Fan theorem. The results of this paper generalize and unify the corresponding results of several authors and can be considered as a significant extension of the previous known results.

 

6. Abelian Theorems For The Generalized And Distributional Generalized Mehler-Fock Transformations,

         P. K. Banerji and Deshna Loonker

Abstract: In this paper, we establish some Abelian theorems for the  generalized and distributional generalized Mehler-Fock transformation, as an initial value and a final value theorem.

 

7. A Heuristic Approach For Solving Multi Objective Linear Integer Programming Problem,

         Teg Alam and Abdul Bari

Abstract: This paper gives an approach for finding integer solution to multi objective linear integer programming problem. Special cuts are developed to reach the integer optimum after covering the multi objective integer programming into a single objective linear  integer programming. An example is given in the last to illustrate  the procedure.

 

8. Integral Representation Of Bivariate Laguerre And Jacobi Polynomials With Matrix Argument in The Complex Case,

         P. L. Sethi and Virendra S. Bhati

Abstract: In this paper, some theorems have been discussed for bivariate Laguerre and Jacobi polynomials for hermitian positive definite matrices. These theorems have not been discussed previously. Few theorems have a wide range of applications in the field of  multivariate analysis.  

 

Volume 2 No. 2, April 2004                   

1. Lie Theoretic Generating Functions Of Two-Index Generalized  Hermite Polynomials,

Mohannad J. S. Shahwan

Abstract: The aim of the present paper is to establish new generatingfunctions for two-index generalized Hermite polynomials (G.H.P.) Hm,n(x,y,z,w,k) by giving suitable interpretations to the indices (n)                and (m). A few special cases of interest are also discussed which would yield inevitably to many new results of the theory of special  functions. 

 

2. A Note On Bailey’s Transform,

         Pankaj Srivastava

Abstract: In this paper, transformation formulae for poly-basichypergeometric functions have been established by making use of  Bailey’s Transform.

 

3. Bayesian Estimator Of Reliability For Generalized Burr Life  Distribution Under Time Censoring, R. S. Srivastava, Vijay Kumar and Narayan Kumar Joshi

Abstract: In this paper, we have obtained the Bayesian estimators of the reliability of generalized Burr distribution with time censoring. These estimators are obtained under linex loss function considering the non-informative and beta prior distribution of the reliability function. The proposed estimators are useful where the components fallow the Generalized Burr Distribution failure model and equal importance is not given to under estimation. The expression of              estimators of reliability has also been obtained under squared error loss function.

 

4. On A Structure Defined By A Tensor Field x Of Type (1,1) Satisfying  xp –a2xp-q = 0, Ram Nivas, Mohd Nazrul Islam Khan

Abstract: Integrability conditions of a structure defined by a (1,1) tensor  field f4 ±f2 =0 have been studied by Gadea and Cordeo [3] and others. Upadhyay and Gupta [2] studied integrability conditions of

x (K,-(K-2))structure manifold. In this paper, we have studied the integrability conditions of a structure satisfying xp –a2xp-q = 0 (0, p,q odd), x a tensor field of type (1,1) and ‘a’ is a complex number not equal to zero.

 

5. A Note On Raina-Nahar Multivariable Function, S. P. Goyal, J.K. Prajapat

Abstract: This note considers application of a multivariable function of Raina and Nahar (and its integral representation) to derive Weyl fractional integrals of particular functions.

 

6. Fractional q-Derivative and Certain Basic Hypergeometric Transformations, R. K. Yadav and S. D. Purohit

Abstract: The present paper deals with the derivation of certain transformations for the hypergeometric functions, as an application of q-Leibnitz rule for the nth order derivatives of a product of two                functions. As q®1-, the results given earlier by Manocha and Sharma [6] follows as a particular case of our results. In the next section, we have deduced the q-Rodrigues formula for the q- Laguerre polynomial as another application of fractional q-derivative.

 

7. Bayesian Estimation Of The Shape Parameter And Reliability Of Generalized Pareto Distribution Using Precautionary Loss Functionn With Censoring, R. S. Srivastava, Vijay Kumar and Arun Kumar Rao

Abstract: In this paper, we have obtain the Bayes estimators of the shape parameter and reliability function of generalized Pareto Distribution. The loss function used is precautionary. A number of  prior distributions have been considered and Bayesian estimates have been compared with the corresponding estimates with squared error loss function.

 

8. Numerical Simulation Of Fluid Inertia On Slider Bearing Lubricant With Heat conduction To The Pad, P. Srinivasa Rao, B.V. Rathish Kumar and Prawal Sinha

Abstract: A numerical study of thermo hydrodynamic performance of a high speed slider bearing with heat conduction to the stationary pad has been analyzed. The couple partial differential equations governing the fluid mass, momentum and energy conservations along with heat conduction equation for the stationary pad, assuming temperature dependent density and viscosity are solved usingStreamline Upwind Petrov-Galerkin Finite Element Method to yield various bearing characteristics. The influence of fluid inertia on the performance of a slider bearing lubrication under various  values of the tilt parameter, k has been studied. Also, the influence of thermal flux along with fluid-solid interface has been studied. The study reveals that the influence of fluid inertia has greatly there is a marginal variation in thermal flux values across fluid-solid interfaces.

 

9. A Unified Mock Theta Function, S. Ahmad Ali

Abstract:    

 

10. Response To Moving Load At Elastic/ Micropolar Solid Interface, Rajneesh Kumar, Praveen Ailawalia

Abstract: The steady state response of a micropolar elastic solid overlying an elastic half space subjected at the plane interface to a moving point load has been studied. The eigen value approach using FourierTransforms has been employed and the transform has been inverted by using a numerical technique. The displacement and stress components in the physical domain are obtained numerically. The numerical results are illustrated graphically for adhesive (elastic) and aluminum (micropolar) solid.

 

Volume 2 No. 1, December, 2003.

1. Existence Of Solutions For Generalized Vector Variational-Like Inequalities, A. Khaliq and A. Raouf

Abstract: In this paper, we establish some existence theorems for a new class of generalized vector variational-like inequalities in Banach  space and in Hausdorff topological vector space under compact and noncompact assumptions on underlying convex sets.  

 

2. Generating Functions Of Biorthogonal Polynomials Suggested By Generalized Hermite Polynomials, P. G. Andhare,  M. S. Chaudhary

Abstract: In present paper, we obtain the generating function and bilateral generating function for biorthogonal polynomials suggested by the generalized Hermite polynomials.

 

3. A Fixed Theorem For Mappings, D. Gopal and A. S. Ranadive

Abstract: In this paper two fixed point theorems for three mappings have been proved. 

 

4. Growth Properties Of  A Class Of Entire Double Dirichlet Sequences, Artee              

Abstract: In this paper, we have defined the growth (order and type) of  complex double sequences analogous to the respective definitions in the theory of integral functions represented by double Dirichlet  series with fixed sequence {lm} and {mn} of exponents. We have considered a class P of entire double dirichlet sequences (EDDS) and have examined their growth properties. Distribution of elements of P over the universal set U of all EDDS has been investigated and has been depicted by Venn diagram.

 

5. On Strongly Multiplicative Graphs, Chandrashekhar Adiga, H. N. Ramaswami and D. D. Somashekara,

Abstract: In this note we show that every wheel is strongly multiplicative. Also we give a formula for l(n), the maximum number of edges in a strongly multiplicative graph of order n.

 

6. Effects Of Slip Parameters On Magnetopolar Free Convection Flow, Poonam Gupta and N. C. Jain

Abstract: This paper is connected with steady free convection flow of an electrically conducting viscous incompressible magneto polar fluid through a porous medium, over a semi-infinite vertical porous plate under slip boundary conditions for velocity and temperature. Using  perturbation technique expressions for velocity field, temperature field, skin friction and rate of heat transfer have been obtained. Effects of Grashof number (G), permeability parameter (K), magnetic parameter (M), rarefaction parameters (h1 and r1) and  rotational parameters (a and l) are discussed in detail and also shown graphically. 

 

7. On M-Projectively Recurrent Sasakian Manifolds, A. A. Sheikh and Sudipta Biswas

Abstract: The object of this paper is to study M-projectively recurrent Sasakian manifolds.

 

8. A Study Of Mathematical Models Of Production Functions, R. C. Srivastava and U. K. Gupta

Abstract: In this paper we study the production and cost function in generalized form. The formulation and generalization may be used to study the production behavior and cost structure of any  industry.

 

9. Problems Of Functions Of Bounded Boundary and Radial Rotations, Susheel Chandra

Abstract: Coefficient problems related to the functions of bounded boundary and radial rotations in the unit disc have been obtained.

 

Volume 1 No. 3, August 2003.

1. Some Generalization Of Closed Modules, Fazal Mehdi and Alveera Mehdi

Abstract: A closed module is defined as the module, which is a direct sum of the summands of its basic sub modules. In a h-reduced S2-module  the closed sub modules of M coincide with the sub modules of M which are complete with respect to the h-topology. On the other                hand a  S2-module M = N Å K, where N is closed and K is direct sum of uniserial modules, need not be closed. This motivates the generalization of closed modules to semi closed modules. As a                direct sum of a closed and h-divisible module is quasicomplete module with respect to h-topology, this motivates the generalization of closed modules to quasiclosed module.       

 

2. On Certain Transformation Formulae For Abnormal q-Series, Remy Y. Denis, S.N.singh, S.P.Singh

Abstract: In this paper, making use of Bailey’s transform and certain known summations, an attempt has been made to establish certain transformation formulae for abnormal q-series.

 

3. On Generating function For the Two Variable Modified Lagurre  Polynomials, Subuhi Khan and Ghazala Yasmin

Abstract: In this paper, using Weisner’s group-theoretic method, we derive generating relations for the two variable modified Laguerre polynomials (TVMLP). Certain special cases of interest are also discussed which would yield many new and known generating relations for the polynomials related to TVMLP.  

 

4. On A Generalization Of Iyer’s Sequence Space G, J.K.Srivastava and P.K.Srivastava

Abstract: Let X be a Banach space and p = (pk) be a sequence of positive  real numbers. X-valued sequence space E(X,p,R), R > 0, and  E(X,p) are introduced and some of their topological properties are investigated. For these spaces operator version Kothe Toeplitz  duals and continious duals are characterized and equivalance of weak and strong convergence is investigated.

 

5. Double Series Representation Of Mock Theta Functions, Pankaj Srivastava.

Abstract: In this paper, making use of a known results we established double series representations of various mock-theta functions.

 

6. Some Some Multiple Gaussian Hypergeometric Generalizations Of Buschman-Srivastava Theorem, M.I.Qureshi, M.Sadiq, M.A.Pathan

Abstract: Some generalizations of Bailey theorem [1, p.246(2.11)] involving the product of two Kummer’s functions 1F1, are obtained by usingWatson theorem [14, p.95(26)] and Srinivasa’s identities [12, pp.194-197; see also 14, p.214(8), p.217(12)]. Its special cases yields various new transformations and reduction formulae  involving Pathan’s quadruple hypergeometric functions F(3),  F(4), Lauricella’s quadruple hypergeometric function , Exton’s multiple hypergeometric functions ,Erdelyi multiple hypergeometric function Hn,k , triple hypergeometric function  , Appell’s double hypergeometric function of second kind  F2 , Srivastava-Daoust function. Some known results of Buschman and Srivastava [4, p.439; see alsop 13, p.31(47)] and Bailey [3, p.239(4.4); see also 13, p.323(191)], are obtained. 

 

7. Some New Sequence Space Generated By Orlicz Functions, Metin Basarir

Abstract: In this paper, we define some new spaces of lacunary sequences of  invariant means generated by a sequence of Orlicz functions  M = (Mk). We discuss some topological properties and establish some inclusion relations between them.

 

8. Certain Transformations And Reduction Formulae For  Hypergeometric Functions, M.A.Pathan and S.I.Laskar

Abstract: In this paper, certain interesting results involving Kampe de Feriet and Appell’s hypergeometric functions are derived by using some known summation formulae.

 

Volume 1 No. 2, April 2003.

1. On a generalized statistical distribution association with product of  Generalized hypergeometric functions, R.K. Saxena, Jeta Ram and J.D. Goree

Abstract: A new statistical distribution association with the product of Gauss  Hypergeometric function and ‘r’ generalized hypergeometric  Function is introduced and studied, which provides the extension  of the work of Saigo et.al. [J.Frac.calc. 7(1995), 35-40]

 

2. Application of directed signature scheme, Sunder Lal, Manoj Kumar

Abstract: Directed signature scheme is applicable when the signed message Contains information sensitive, because only receiver can directly Verify the signature and that he/she can prove its validity to any  Third party, whenever necessary. This paper presents two applications of directed signature  scheme:-

(i)   Directed-Delegated Signature Scheme. This scheme combines the idea of proxy signatures with directed signature scheme.

(ii)  Allocation of registration number. This scheme proposes a registration number cannot be forged and misused.

 

3. Laurent coefficients for cubic theta function, S.Bhargava and Syeda Noor Fathima

Abstract: The purpose of the paper is to establish the interesting fact that the Laurent coefficient of two-parameter cubic analogues of the Jacobi’s theta functions.This is a sequel to an earlier work of the first author and at the same time generalized a recent work of S.Cooper.

 

4. Existence of solution and iterative algorithm for a generalized Implicit complementarity problem in banach space, Kaleem Raza Kazmi and Mohd. Iqbal Bhat

Abstract: In this paper, we study a generalized implicit complementarity problem 9in short, GICP) in uniformly smooth Banach space and show that it is equivalent to a fixed-point problem. Using this equivalence we analyze an interative algorithm for GICP.further, we prove the existence of solution and discuss the convergence analysis of the developed interative algorithm. The theorems presented in this paper generalized, improve and unify the corresponding known results for the complementarity problems in Hilbert spaces.

 

5. On certain transformation of poly-basic Bilateral Hypergeometric, Remy Y. Denis, S.N.singh, S.P.Singh

Abstract: In this paper we have established certain transformation of basic hypergeometric series with more than one base. Some of these lead to the relationship between product of two q-series. These result, in turn, lead to very interesting transformations of bi-basic and  poly-basic series.

 

6. Extrapolated iteration for a certain class o nonlinear  Equation, Rabindra Nath Sen, Pulak Guhathakurta

Abstract: The extrapolated Newton-SOR method has been discussed. This method is used to solve nonlinear equation having special structures. The method has been shown to be iteratively faster than the Newton-SOR method discussed by Ortega and rheinboldt.

 

7. A Unified mock theta function, S.Ahmad Ali

Abstract:

 

8. A study of certain integrals relating Ramanujan’s formula, Mridula Garg and Shweta Mittal

Abstract: The aim of the present paper is to develop and extend an interesting integral obtained by Ramanujan with the help of his master theorem. In the present paper we evaluate three unified integral involving the product of the general class of polynomial, the generalized sequence of function and the H- function of several variables with general arguments. Our findings  are believed to be new and are capable of yielding of large number of integral involving several polynomials and special functions as their particular cases.

 

Volume 1 No. 1, December 2002

1. On Reducibility of Certain q-Double Hypergeometric Series and Clausen Type Identities, Remy Y. Denis

Abstract: In this paper, a method has been developed to establish   certain transformations of double q-series in terms of basic hypergeometric functions of one variable. These results lead to certain interesting Clausen type identities. We also discuss certain continued fractionRepresentations involving q-series.

 

2. Two Variable Modified Laguerre Polynomials And Their Generating Relations, M.A.Pathan, Subuhi Khan and Ghazala Yasmin

Abstract: In this paper, the notion of two variable modified Laguerre poly-nomials (TVMLP) La,b,m,n (x,y) is given and their generating relations are derived. The process involves the problem of framing TVMLP into the context of the representation ­w,m of a Lie algebra G(0,1). Certain new and known generating relations for the poly-nomials related to TVMLP are also obtained as special cases.

 

3. A Certain Class Of Multiple Generating Functions Involving Mittag-Leffler’s Functions, M. Kamarujjama and M. Khursheed Alam

Abstract: A set of certain class of multiple generating function involving Mittag-Leffler’s functions Ea , Ea,b  and related function f(a,b;z) of wright is given. Some interesting (known and new) multiple enerating functions are also obtained as special cases.

 

4. Unsteady MHD Flow Of A Generating Viscoelastic Oldroydian luid, P.R.Sengupta

Abstract: The aim of this paper is to study the unsteady MHD flow of  generalized visco-elastic fluids through a porous rectangular duct. From this generalized investigation we have deduced the different  problems of flow in cases of oldroyd first order, second order, n-th order fluids; Rivlin-Ericksen first order, second order, n-th order fluids and ordinary viscous fluid. The numerical calculation of the velocity profile for oldroyd Fluid has been made in the forms of tables and graphs.

 

5. Some Remarks On Wiener-Hopf Equations and Variational Inequalities In Banach Spaces, Kaleem Raza Kazmi and Mohd. Iqbal Bhat

Abstract: In this paper, we consider a class of implicit variational inequalities in uniformly smooth Banach spaces and its equivalence, we suggest and analyze a Mann type iterative algorithm for finding the approx-imate solution of the class of Wiener-Hopf equation and discuss itsconvergence criteria. The theorems in the paper extend and improve many known results in the literature.

 

6. Bilateral Generating Relations For Certain Hypergeometric Functions, P.K.Banerji and F.B.F.Mohsen 

Abstract: This paper establishes some bilateral generating relations for  hypergeometric functions of two, three and four variables. Some  Particular cases have been explored.         

                             

7. The Askey-wilson operation and the 6F5 summation formula, Shaun Cooper

The summation formula

  

can be proved by  expanding each  term in the identity by  the binominal theorem, equating coefficients of xn on both sides and relabelling parameters. The aim of this paper is to use the Askey-  Wilson operator Dq and its index lad  to give a similar proof of the summation formula for a terminating, very well poised  6F5  series.

 

8. N- high submodules and h-topology, Fazal Mehdi and Alveena Mehdi

Abstract: A sub-module K of M is N-high if K is maximal with the property  KÇN = 0 where N is a sub-module of M. In this paper we study N-high submodules in the light of h-topology. In h-topology, Hk(M), k =1,2,…,¥ form a neighborhood system for zero. We characterize the submodules N of a h-reduced S2-model M for which all N-high submodules are bounded. We further characterizethe submodule N of the same module M for which all h-pure N-high submodules are bounded.