STUDY OF EXPANSION FOR I-FUNCTION OF MULTIVARIABLE AND ITS APPLICATION

Abstract

In the present paper few finite integrals involving product of Jacobi polynomials and multivariable I-function of generalized arguments have been evaluated. These integrals have been utilized to establish the expansion for I  in series involving product of Jacobi polynomials, since multivariable I-function is quite general function in nature. On specializing the parameters of the functions involved in the results, many new as well as known relations may be obtained in application section.

Keywords : I-function of multivariable

Mathematical subject classification : 2011, 33C50