On certain q-hypergeometric matrix functions of several variables and their matrix q-difference equations

We introduce q-Lauricella matrix functions of three and n-variables. The convergence of these matrix functions is examined for both and cases. The systems of matrix q-difference equations satisfied by these q-Lauricella matrix functions as well as basic Srivastava's triple hypergeometric matrix...

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Vydané v:Journal of difference equations and applications Ročník 25; číslo 11; s. 1531 - 1548
Hlavní autori: Dwivedi, Ravi, Sahai, Vivek
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Abingdon Taylor & Francis 02.11.2019
Taylor & Francis Ltd
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ISSN:1023-6198, 1563-5120
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Shrnutí:We introduce q-Lauricella matrix functions of three and n-variables. The convergence of these matrix functions is examined for both and cases. The systems of matrix q-difference equations satisfied by these q-Lauricella matrix functions as well as basic Srivastava's triple hypergeometric matrix functions have been determined. Certain integral representations satisfied by these matrix functions have also been established.
Bibliografia:ObjectType-Article-1
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content type line 14
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2019.1668930