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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 integralrepresentation of new function. We also take the Mellin transform of this newfunction in terms of Wright hypergeometric function. Extended fractionalderivative of the classical Mittag-Leffler(ML) function leads the extended(p,q)-Mittag-Leffler(ML) function.

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