Some applications of Gasper's bibasic summation

DOI10.1216/RMJ-2008-38-2-703zbMath1165.33012MaRDI QIDQ1011027

Yusen Zhang, Tian-ming Wang

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

basic hypergeometric seriestransformation formulainverse relationbibasic summation formula

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (1)

\(q\)-Triplicate inverse series relations with applications to \(q\)-series

Cites Work

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• Generalized bibasic hypergeometric series and their \(U(n)\) extensions
• Some inverse relations
• A characterization of inverse relations.
• Sone new inverse series relations
• Inversion of bilateral basic hypergeometric series
• Consequences of the \(A_ l\) and \(C_ l\) Bailey transform and Bailey lemma
• Some new applications of matrix inversions in \(A_r\)
• On Quadratic Transformations of Basic Series
• An Indefinite Bibasic Summation Formula and Some Quadratic, Cubic and Quartic Summation and Transformation Formulas
• Summation, Transformation, and Expansion Formulas for Bibasic Series
• The $\bal $\ and $\bcl $\ Bailey Transform and Lemma
• Basic hypergeometric identities: An introductory revisiting through the Carlitz inversions
• A new matrix inverse
• Some Quadratic and Cubic Summation Formulas for Basic Hypergeometric Series

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