International Journal of Mathematics Trends and Technology
Volume 54 | Number 2 | Year 2018 | Article Id. IJMTT-V54P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P517
In the present paper we evaluate a generalized multiple integrals involving the product of the S generalized Gauss hypergeometric function, multivariable Aleph-function, the multivariable I-function and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the Aleph-function of several variables which is sufficiently general in nature and capable to yielding a large of results merely by specializating the parameters their in.
[1] Marichev O.I. Prudnikov A.P. And Brychkow Y.A. Elementay functions. Integrals and series Vol 1. USSR Academy of sciences . Moscow 1986
[2] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237
[3] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[4] 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] Srivastava H.M. Agarwal P. and Jain S. Generating functions for the generalized Gauss hypergeometric functions. Applied Mathematics and computations 247 (2014), page 358-352
[6] 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.
F.Y.Ayant, "Multiple Integrals Involving The S Generalized Gauss's Hypergeometric Function, Class of Polynomials, Multivariable Aleph-Function and Multivariable I-Function I," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 2, pp. 156-163, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P517
PDF 
Abstract 
Keywords 
References 
Citation