Preprint Article Version 1 This version is not peer-reviewed

Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions

Version 1 : Received: 24 December 2018 / Approved: 25 December 2018 / Online: 25 December 2018 (14:07:20 CET)

A peer-reviewed article of this Preprint also exists.

Prodanov, D. Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions. Fractal Fract 2019, 3, 4. Prodanov, D. Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions. Fractal Fract 2019, 3, 4.

Journal reference: Fractal Fract 2019, 3, 4
DOI: 10.3390/fractalfract3010004

Abstract

The manuscript surveys the special functions of the Fox-Wright type. These functions are generalizations of the hypergeometric functions. Notable representatives of the type are the Mittag-Leffler functions and the Wright function. The integral representations of such functions are given and the conditions under which these function can be represented by simpler functions are demonstrated. The connection with generalized fractional differential and integral operators is demonstrated and discussed.

Subject Areas

wright function; gamma function; beta function; fractional calculus

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