On Sears's general transformation formula for basic hypergeometric series

DOI10.1007/s11139-008-9141-1zbMath1182.33022OpenAlexW2044215213MaRDI QIDQ1037563

Song Heng Chan

Publication date: 16 November 2009

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-008-9141-1

zbMATH Keywords

\(q\)-seriesbasic hypergeometric seriespartial fractionstransformation formula

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

Three-parameter mock theta functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On formulas of Ramanujan and Evans
• Ramanujan's lost notebook. V: Euler's partition identity
• A short proof of Ramanujan's famous \(_1\psi_1\) summation formula
• \(q\)-series identities and values of certain \(L\)-functions
• Extension of Abel's Lemma with \(q\)-series implications
• Ramanujan's Lost Notebook
• Generalized Lambert series identities
• On the Transformation Theory of Hypergeometric Functions and Cognate Trigonometrical Series
• Transformations of Basic Hypergeometric Functions of any Order
• Some Basic Hypergeometric Transforms

This page was built for publication: On Sears's general transformation formula for basic hypergeometric series