Positivity preserving transformations for 𝑞-binomial coefficients

DOI10.1090/S0002-9947-04-03680-3zbMath1061.33015arXivmath/0302320OpenAlexW1528868560MaRDI QIDQ4654149

S. Ole Warnaar, Alexander Berkovich

Publication date: 1 March 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302320

zbMATH Keywords

Bailey lemmabasic hypergeometric seriesbase-changing transformationsBorwein conjecture, \(q\)-binomial coefficients, Rogers-Ramanujan identities, Rogers-Szegő polynomials

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

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Uses Software

• RRtools
• recpf

Cites Work

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