Submitted:
24 December 2018
Posted:
25 December 2018
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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.
Keywords:
wright function
; gamma function
; beta function
; fractional calculus
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