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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Vydáno v:Journal of difference equations and applications Ročník 25; číslo 11; s. 1531 - 1548
Hlavní autoři: Dwivedi, Ravi, Sahai, Vivek
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 02.11.2019
Taylor & Francis Ltd
Témata:
Difference equations
Formulas (mathematics)
Mathematical analysis
matrix functional calculus
q-hypergeometric function
q-Lauricella functions
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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2019.1668930