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Extended (p,q)-Mittag-Leffler function and its properties (1808.01404v1)

Published 4 Aug 2018 in math.CA and math.CV

Abstract: In this study our aim to define the extended $(p,q)$-Mittag-Leffler(ML) function by using extension of beta functions and to obtain the integral representation of new function. We also take the Mellin transform of this new function in terms of Wright hypergeometric function. Extended fractional derivative of the classical Mittag-Leffler(ML) function leads the extended (p,q)-Mittag-Leffler(ML) function.

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