The Saalschütz chain reactions and bilateral basic hypergeometric series.

DOI10.1007/s00365-001-0026-4zbMath1033.33009OpenAlexW2082085989MaRDI QIDQ1862760

Chu, Wenchang

Publication date: 28 March 2004

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-001-0026-4

zbMATH Keywords

multiple basic hypergeometric seriesbilateral \(q\)-hyergeometric seriesSaalschütz chain reactions

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items

General multi-sum transformations and some implications, Basic bilateral very well-poised series and Shukla's \(_8\psi_8\)-summation formula, Iteration process for multiple Rogers-Ramanujan identities, Bailey's very well-poised \(_6\psi_6\)-series identity

Cites Work

• A multiple series transformation of the very well poised \(_{2k+4}\Phi_{2k+4}\)
• Two Proofs of the ₆Ψ₆ Summation Theorem
• Summation Formulas for Basic Hypergeometric Series
• The Very Well Poised 6 ψ 6
• Basic almost-poised hypergeometric series
• Partial fractions and bilateral summations
• 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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