Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2014; 29(3): 479-487

Printed July 1, 2014

https://doi.org/10.4134/CKMS.2014.29.3.479

Copyright © The Korean Mathematical Society.

Euler type integral involving generalized Mittag-Leffler function

Shakeel Ahmed and Mumtaz Ahmad Khan

Aligarh Muslim University, Aligarh Muslim University

Abstract

In this paper, we obtain some theorems on certain Euler type integrals involving generalized Mittag-Leffler function. Further, we deduce some special cases involving Wiman function, Prabhakar function and exponential and binomial functions.

Keywords: Euler type integrals, extended beta function, Mittag-Leffler function, Wiman function, Prabhakar function

MSC numbers: 33C45, 47G20, 26A33