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- W4386136689 abstract "Abstract The special matrix functions have received significant attention in many fields, such as theoretical physics, number theory, probability theory, and the theory of group representations. In 2017, Dwivedi and Sahai introduced the generalized hypergeometric matrix function using matrix parameters and proved the convergence on <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mrow> <m:mo stretchy=false>|</m:mo> <m:mi>z</m:mi> <m:mo stretchy=false>|</m:mo> </m:mrow> <m:mo>=</m:mo> <m:mn>1</m:mn> </m:mrow> </m:math> {|z|=1} . Recently, hypergeometric matrix functions and their potential applications have played a major role in mathematical physics and engineering. Motivated by aforesaid works and in order to enrich this flourishing field, we investigate the Euler-type integral representations for the generalized hypergeometric matrix function and determine various transformations in terms of hypergeometric matrix functions. Furthermore, unit and half arguments have been provided for several particular cases." @default.
- W4386136689 created "2023-08-25" @default.
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- W4386136689 date "2023-08-25" @default.
- W4386136689 modified "2023-09-27" @default.
- W4386136689 title "Euler-type integrals for the generalized hypergeometric matrix function" @default.
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- W4386136689 doi "https://doi.org/10.1515/jaa-2023-0028" @default.
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