INTEGRAL INVOLVING ALEPH-FUNCTION AND THE GENERALIZED INCOMPLETE HYPERGEOMETRIC FUNCTION

INTEGRAL INVOLVING ALEPH-FUNCTION AND THE GENERALIZED INCOMPLETE HYPERGEOMETRIC FUNCTION

D. Kumar, F. Y. Ayant, F. Uçar

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Abstract

The aim of this paper is to establish a general denite integrals involving product of the Aleph function and generalized incomplete hypergeometric function with general arguments. Being unied and general in nature, this integral yield a number of known and new results as special cases. For the sake of illustration, several corollaries are also recorded here as special case of our main results.

Keywords

Aleph-function, I-function, H-function, generalized incomplete hypergeometric function.