Eulerian Integral Associated with Product of Two Prasad's Multivariable H-Functions, the Classes of Multivariable Polynomials

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V60P519

International Journal of Mathematics Trends and Technology

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Volume 60 | Number 2 | Year 2018 | Article Id. IJMTT-V60P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P519

Eulerian Integral Associated with Product of Two Prasad's Multivariable H-Functions, the Classes of Multivariable Polynomials

F.Y.Ayant

Abstract

Recently, Raina and Srivastava [2] and Srivastava and Hussain [7] have provided closed-form expressions for a number of a Eulerian integral about the multivariable H-functions.The present paper is evaluated a new Eulerian integral associated with the product of two modified multivariable Ifunctions defined by Prasad [1], a generalized Lauricella function an the classes of multivariable polynomials with general arguments . We shall study the case concerning the Srivastava-Daoust polynomial [4] and we shall give few remarks..

Keywords

Eulerian integral, modified multivariable H-function, generalized Lauricella function of several variables, generalized hypergeometric function, class of polynomials

References

[1] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[2] R.K. Raina and H.M. Srivastava, Evaluation of certain class of Eulerian integrals. J. phys. A: Math.Gen. 26 (1993), 691-696.
[3] M. Saigo, and R.K. Saxena, Unified fractional integral formulas forthe multivariable H-function. J.FractionalCalculus 15 (1999), 91-107.
[4] H.M. Srivastava H.M. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page183-191.
[5] H.M. Srivastava and M.C. Daoust, Certain generalized Neumann expansions associated with Kampé de Fériet function. Nederl. Akad. Wetensch. Proc. Ser A72 = Indag. Math. 31(1969) page 449-457.
[6] H.M. Srivastava and M. M. Garg, Some integral involving a general class of polynomials and multivariable Hfunction. Rev. Roumaine Phys. 32(1987), page 685-692.
[7] H.M. Srivastava and M.A. Hussain, Fractional integration of the H-function of several variables. Comput. Math. Appl. 30 (9) (1995), 73-85
[8] H.M. Srivastava and H.L. Manocha, A treatise of generating functions. Ellis. Horwood.Series. Mathematics and Applications 1984, page 60.
[9] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables, Comment. Math. Univ. St. Paul. 24(1975), page.119-137.
[10] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables II. Comment. Math. Univ. St. Paul. 25(1976), page.167-197

Citation :

F.Y.Ayant, "Eulerian Integral Associated with Product of Two Prasad's Multivariable H-Functions, the Classes of Multivariable Polynomials," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 2, pp. 117-127, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P519