Divided differences and well-poised q-series

DOI10.1080/10236198.2022.2046736zbMath1494.33014OpenAlexW4220857312MaRDI QIDQ5072118

Chu, Wenchang

Publication date: 25 April 2022

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2022.2046736

zbMATH Keywords

basic hypergeometric seriesdivided differencewell-poised \(q\)-seriesJackson's formula for \(_8\phi_7\) series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Bibasic functions and multiple bases (33D65)

Related Items (1)

Two \(q\)-operational equations and Hahn polynomials

Cites Work

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• Formulas and identities involving the Askey-Wilson operator
• Summation formulae for a class of terminating balanced \(q\)-series
• \(q\)-derivative operators and basic hypergeometric series
• Some operator identities and \(q\)-series transformation formulas
• An expansion formula for \(q\)-series and applications
• New identities for terminating balanced \(_4\phi_3\)-series
• Divided differences and generalized Taylor series
• Summation, Transformation, and Expansion Formulas for Bibasic Series
• Summation Formulas for Basic Hypergeometric Series
• Partial fractions and bilateral summations
• Generalized Hypergeometric Function of Unit Argument
• Hypergeometric Functions with Integral Parameter Differences

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