Journal
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Volume 30, Issue 2, Pages 138-156Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10652469.2018.1543669
Keywords
Wright hypergeometric matrix functions; integral representation; differential formula; fractional calculus
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In this paper we focus on the Wright hypergeometric matrix functions and incomplete Wright Gauss hypergeometric matrix functions by using Pochhammer matrix symbol. We first introduce the Wright hypergeometric functions of a matrix argument and examine the convergence of these matrix functions in the unit circle, then we discuss the integral representations and differential formulas of the Wright hypergeometric matrix functions. We have also carried out a similar study process for incomplete Wright Gauss hypergeometric matrix functions. Finally, we obtain some results on the transform and fractional calculus of these Wright hypergeometric matrix functions.
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