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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Veröffentlicht in:Journal of difference equations and applications Jg. 25; H. 11; S. 1531 - 1548
Hauptverfasser: Dwivedi, Ravi, Sahai, Vivek
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis 02.11.2019
Taylor & Francis Ltd
Schlagworte:
Difference equations
Formulas (mathematics)
Mathematical analysis
matrix functional calculus
q-hypergeometric function
q-Lauricella functions
ISSN:1023-6198, 1563-5120
Online-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
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ObjectType-Feature-2
content type line 14
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2019.1668930