Three-term relations for basic hypergeometric series

DOI10.1016/j.jmaa.2018.04.021zbMath1388.33003OpenAlexW2801577962MaRDI QIDQ1748331

Yuka Yamaguchi

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.021

zbMATH Keywords

basic hypergeometric seriescontiguous relationthree-term relation\(q\)-differential equation

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

A new identity for the sum of products of the generalized basic hypergeometric functions ⋮ A new identity for the sum of products of the generalized hypergeometric functions

Cites Work

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• Contiguous relations of hypergeometric series
• Three Term Relations for the Hypergeometric Series
• Summation Formulas for Basic Hypergeometric Series
• Hypergeometric Functions with Integral Parameter Differences
• The basic analogue of Kummer’s theorem
• A NOTE ON CERTAIN q-IDENTITIES

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