Finite double integrals involving multivariable I-function and a class of multivariable polynomials

Frédéric Ayant; Vinod Gill

doi:https://doi.org/10.14445/22315373/IJMTT-V52P515

International Journal of Mathematics Trends and Technology

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Volume 52 | Number 2 | Year 2017 | Article Id. IJMTT-V52P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P515

Finite double integrals involving multivariable I-function and a class of multivariable polynomials

Frédéric Ayant, Vinod Gill

Abstract

In this paper we establish two finite double integrals involving the multivariable I-function defined by Prasad and a class of multivariable polynomials with general arguments. Our integrals are quite general in character and a number of new integrals can be deduced as particular cases We will study the particular cases concerning the multivariable H-function and the Srivastava-Daoust polynomials.

Keywords

I-function of several variables, finite double integral, H-function of several variables , Class of multivariable polynomials, Srivastava-Daoust polynomial.

References

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[4] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[5] Srivastava H.M. and Daoust M.C. Certain generalized Neumann expansions associated with Kampé de Fériet function. Nederl. Akad. Wetensch. Proc. Ser A72 = Indag Math 31(1969) page 449-457.
[6] Srivastava H.M. And Garg M. Some integral involving a general class of polynomials and multivariable Hfunction. Rev. Roumaine Phys. 32(1987), page 685-692.
[7] 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), p.119-137.

Citation :

Frédéric Ayant, Vinod Gill, "Finite double integrals involving multivariable I-function and a class of multivariable polynomials," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 2, pp. 111-119, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P515