Two new transformation formulas of basic hypergeometric series

DOI10.1016/j.jmaa.2007.03.001zbMath1202.33023OpenAlexW2062115538MaRDI QIDQ2381903

Zhizheng Zhang, Caihuan Zhang

Publication date: 26 September 2007

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.2007.03.001

zbMATH Keywords

Basic hypergeometric seriesBailey's transformation on nonterminating very well-poised \(_{10}\phi_9\)-seriesthree terms transformation on nonterminating \(_8\phi_7\)-series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (2)

On the very-well-poised bilateral basic hypergeometric series ⋮ A symmetric formula for hypergeometric series

Cites Work

• Unnamed Item
• Unnamed Item
• More semi-finite forms of bilateral basic hypergeometric series
• Another proof of Bailey's \({}_6\psi_6\) summation
• Semi-finite forms of bilateral basic hypergeometric series
• Basic almost-poised hypergeometric series
• Basic hypergeometric identities: An introductory revisiting through the Carlitz inversions
• ON THE BASIC BILATERAL HYPERGEOMETRIC SERIES ₂ψ₂

This page was built for publication: Two new transformation formulas of basic hypergeometric series