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On some properties of the generalized Mittag-Leffler function

Springerplus. 2013 Jul 23:2:337. doi: 10.1186/2193-1801-2-337. eCollection 2013.

Abstract

This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function and Laguerre polynomials is also established.

2000 mathematics subject classification: 33C45, 47G20, 26A33.

Keywords: Fox’s H function; Generalized hypergeometric function; Mittag-Leffler function.