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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Bibliographic Details
Published in:Journal of difference equations and applications Vol. 25; no. 11; pp. 1531 - 1548
Main Authors: Dwivedi, Ravi, Sahai, Vivek
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 02.11.2019
Taylor & Francis Ltd
Subjects:
Difference equations
Formulas (mathematics)
Mathematical analysis
matrix functional calculus
q-hypergeometric function
q-Lauricella functions
ISSN:1023-6198, 1563-5120
Online Access:Get full text
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Summary: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.
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content type line 14
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2019.1668930