Chaotic and periodic asymptotics for q-orthogonal polynomials

DOI10.1155/IMRN/2006/83274zbMath1109.33025OpenAlexW2091761209MaRDI QIDQ3428128

Ruiming Zhang, Mourad E. H. Ismail

Publication date: 27 March 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/imrn/2006/83274

zbMATH Keywords

asymptoticstheta functions\(q\)-orthogonal polynomials

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Theta series; Weil representation; theta correspondences (11F27) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (11)

Plancherel-Rotach asymptotics for \(q\)-orthogonal polynomials ⋮ Uniform asymptotics of some \(q\)-orthogonal polynomials ⋮ Asymptotics for some \(q\)-hypergeometric polynomials ⋮ Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process ⋮ Integral and series representations of q-polynomials and functions: Part I ⋮ On complete monotonicity of certain special functions ⋮ Plancherel-Rotach asymptotics for some \(q\)-orthogonal polynomials with complex scalings ⋮ Plancherel-Rotach asymptotics for certain basic hypergeometric series ⋮ Remarks on Ramanujan function \(A_q(z)\) ⋮ Solutions of the Al-Salam–Chihara and allied moment problems ⋮ Integral and series representations of 𝑞-polynomials and functions: Part II Schur polynomials and the Rogers-Ramanujan identities

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