scientific article; zbMATH DE number 7800535

MaRDI QIDQ6190480

Yan-Ping Mu, Zhi-Qiang Lu

Publication date: 6 February 2024

Full work available at URL: https://www.math.uh.edu/~hjm/restricted/pdf49(2)/06mu.pdf

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zbMATH Keywords

orthogonality\(q\)-Racah polynomialsWatson's transformationHecke-type series

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Cites Work

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• Bilateral Bailey lemma and Rogers-Ramanujan identities
• Hecke modular forms and q-Hermite polynomials
• Partitions and indefinite quadratic forms.
• An expansion formula for \(q\)-series and applications
• A \(q\)-series expansion formula and the Askey-Wilson polynomials
• Several \(q\)-series transformation formulas and new Hecke-Rogers type series identities
• ON THE q-DERIVATIVE AND q-SERIES EXPANSIONS
• Hecke Modular Forms and the KAC-Peterson Identities
• The Fifth and Seventh Order Mock Theta Functions
• Further generalizations of some Hecke-type identities

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