A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials

DOI10.1090/S0002-9939-2015-12099-0zbMath1312.33051arXiv1212.1887MaRDI QIDQ5179383

Masao Ishikawa, Hiroyuki Tagawa, Victor J. W. Guo, Zeng, Jiang

Publication date: 19 March 2015

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

Full work available at URL: https://arxiv.org/abs/1212.1887

zbMATH Keywords

momentsPfaffiansGram determinantsAskey-Wilson polynomialsmatrix theoremDesnanot-Jacobi adjointquadratic formula for basic hypergeometric series

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

Hypergeometric functions at unit argument: simple derivation of old and new identities ⋮ A new identity for the sum of products of the generalized basic hypergeometric functions ⋮ Moments of orthogonal polynomials and exponential generating functions

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