Integrals Involving the Homogeneous Generalized Hypergeometric Function and Multivariable Aleph-Function
Keywords:
Multivariable Aleph-function, homogeneous generalized hypergeometric function, multiple Mellin-Barnes contour integrals, Gegenbauer polynomial, multivariable H- function, Aleph-function of two variables, I-function of two variables, Aleph-function of one variable, I- function of one variable.Abstract
Recently, T two finite integrals involving the homogeneous hypergeometric function and the modified multivariable H function have been evaluated. During this work, we established two unified finite integrals whose integrands are the product of the multivariable Aleph function, the homogeneous generalized hypergeometric function and the Gegenbauer polynomial. Several corollaries and remarks will be cited at the end of our study.