A CERTAIN CLASS OF MULTIPLE GENERATING FUNCTIONS INVOLVING MITTAG-LEFFLER’S FUNCTIONS

Print ISSN: 0972-7752

Abstract

A set of certain class of multiple generating function involving Mittag-Leffler’s functions Eα, Eα,β and related function Φ(α,β;z) of wright is given. Some
interesting (known and new) multiple generating functions are also obtained as special cases.

Keywords and Phrases

Mittag-Leffler’s functions and related functions and related function, Bessel’s function and Hyper-Bessel function, Hypergeometric function.

A.M.S. subject classification

Primary 33E12 Secondary 33C99.

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