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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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
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Abstract 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.
AbstractList 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.
We introduce q-Lauricella matrix functions of three and n-variables. The convergence of these matrix functions is examined for both [Formula omitted.] and [Formula omitted.] 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.
Author Sahai, Vivek
Dwivedi, Ravi
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  organization: Department of Mathematics and Astronomy, Lucknow University
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Snippet 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...
We introduce q-Lauricella matrix functions of three and n-variables. The convergence of these matrix functions is examined for both [Formula omitted.] and...
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SubjectTerms Difference equations
Formulas (mathematics)
Mathematical analysis
matrix functional calculus
q-hypergeometric function
q-Lauricella functions
Title On certain q-hypergeometric matrix functions of several variables and their matrix q-difference equations
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