Basic bilateral very well-poised series and Shukla's \(_8\psi_8\)-summation formula

DOI10.1016/j.jmaa.2006.05.052zbMath1105.33014OpenAlexW1972851494MaRDI QIDQ864711

Xiaoxia Wang, Chu, Wenchang

Publication date: 12 February 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.2006.05.052

zbMATH Keywords

basic hypergeometric seriesWatson's transformationJackson's summation formulavery well-poised bilateral series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Applications of basic hypergeometric functions (33D90)

Related Items (1)

Bailey's well-poised \(_{6}\psi _{6}\)-series implies the Askey-Wilson integral

Cites Work

• A multiple series transformation of the very well poised \(_{2k+4}\Phi_{2k+4}\)
• The Saalschütz chain reactions and bilateral basic hypergeometric series.
• A multidimensional generalization of Shukla's \(_8\psi _8\) summation
• Bailey's very well-poised \(_6\psi_6\)-series identity
• Two Proofs of the ₆Ψ₆ Summation Theorem
• Summation Formulas for Basic Hypergeometric Series
• The Very Well Poised 6 ψ 6
• Generalized Hypergeometric Function of Unit Argument
• Hypergeometric Functions with Integral Parameter Differences
• SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS
• ON WELL-POISED BILATERAL HYPER-GEOMETRIC SERIES OF THE TYPE ₈ψ₈
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