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On the generalized mittag-leffler type functions

Rudolf GorenfloDepartment of Mathematics and Computer Science , Free University of Berlin , Berlin, D-14195, GermanyAnatoly A. KilbasDepartment of Mathematics and Mechanics , Belarusian State University , Minsk, BY-220050, Republic of BelarusSergei RogosinDepartment of Mathematics and Mechanics , Belarusian State University , Minsk, BY-220050, Republic of Belarus
1998en
ABI

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The paper is devoted to the study of the properties of the special functions generalizing the Mittag-Leffler type functions. The order and type of such entire functions are evaluated and recurrence relations are given. Connections with hypergeometric functions are discussed and differentiation formulae are proved.

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