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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2024. Vol 48

A Note on Wright-type Generalized q-hypergeometric Function

Author(s)
Kuldipkumar K. Chaudhary1, Snehal B. Rao1

1Maharaja Sayajirao University of Baroda, Gujarat, India

Abstract
In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduces to generalized hypegeometric function by letting q tends to one, and study some new properties. Convergence of the series defining generalized q-hypergeometric function and properties including certain differentiation formulae and integral representations have been deduced.
About the Authors

Kuldipkumar K. Chaudhary, Research Scholar, Department of Applied Mathematics, Faculty of Technology & Engineering, the Maharaja Sayajirao University of Baroda, Vadodara–390001, Gujarat, India, kuldip.cappmathphd@msubaroda.ac.in

Snehal B. Rao, Assistant Prof., Department of Applied Mathematics, Faculty of Technology & Engineering, the Maharaja Sayajirao University of Baroda, Vadodara–390001, Gujarat, India, snehal.b.raoappmath@msubaroda.ac.in

For citation

Chaudhary K. K., Rao S. B. A Note on Wright-type Generalized q-hypergeometric Function. The Bulletin of Irkutsk State University. Series Mathematics, 2024, vol. 48, pp. 80–94.

https://doi.org/10.26516/1997-7670.2024.48.80

Keywords

basic hypergeometric functions in one variable 𝑟𝜑𝑠, q-gamma functions, q-beta functions and integrals, q-calculus and related topics

UDC
517.55
MSC
33D05, 33D15, 05A30
DOI
https://doi.org/10.26516/1997-7670.2024.48.80
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