Two expansion formulas involving the Rogers–Szegő polynomials with applications

DOI10.1142/S1793042115500268zbMath1327.11073OpenAlexW2106796226MaRDI QIDQ5248137

Zhi-Guo Liu, Zeng, Jiang

Publication date: 27 April 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042115500268

zbMATH Keywords

\(q\)-seriesRogers-Szegő polynomialsAskey-Wilson integralRogers-Selberg identityBailey's \(_{6}\psi_{6}\) summation

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05)

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