A new generalization of \(q\)-hypergeometric function

DOI10.1007/S40574-015-0041-1zbMath1336.33035OpenAlexW2470046798MaRDI QIDQ2634127

Meera H. Chudasama

Publication date: 8 February 2016

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-015-0041-1

zbMATH Keywords

\(q\)-derivativeeigenfunction\(q\)-integralbasic hypergeometric function\(q\)-contiguous function

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Ordinary differential equations of infinite order (34A35) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (1)

Certain properties of the \(q\)-\(\ell \)-\(\varPsi \) Bessel function

Cites Work

• The contiguous function relations for the basic hypergeometric series
• An asymptotic expansion of the q-gamma function q(x)
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