A Note on Wright-type Generalized q-hypergeometric Function

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...

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Veröffentlicht in:	Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) Jg. 48; H. 1; S. 80 - 94
Hauptverfasser:	Chaudhary, K. K., Rao, S. B.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Irkutsk State University 01.01.2024
Schlagworte:	basic hypergeometric functions in one variable _r \phi_s q-beta functions and integrals q-calculus and related topics q-gamma functions
ISSN:	1997-7670, 2541-8785
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	1997-7670 2541-8785
DOI:	10.26516/1997-7670.2024.48.80