CERTAIN EXPANSION FORMULAE OF INCOMPLETE H-FUNCTIONS ASSOCIATED WITH LEIBNIZ RULE

CERTAIN EXPANSION FORMULAE OF INCOMPLETE H-FUNCTIONS ASSOCIATED WITH LEIBNIZ RULE

S. Meena, S. Bhatter, K. Jangid, S. D. Purohit

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Abstract

In this article, we have derived some expansion formulae of the incom- plete H-functions by the use of the Leibniz rule for the Riemann-Liouville type deriva- tives. Further, expansion formulae of the incomplete Meijer's G-function, incomplete Fox-Wright function and incomplete generalized hypergeometric function are derived as special cases of our main results.

Keywords

Incomplete Gamma functions; Incomplete H-function; Riemann-Liouville fractional derivatives; Leibniz rule.