Scaled asymptotics for \(q\)-orthogonal polynomials

DOI10.1016/j.crma.2006.11.018zbMath1110.33011OpenAlexW1981428239MaRDI QIDQ869441

Ruiming Zhang, Mourad E. H. Ismail

Publication date: 2 March 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.11.018

zbMATH Keywords

asymptotic expansionsq-othogonal polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Plancherel-Rotach asymptotics for \(q\)-orthogonal polynomials ⋮ Asymptotics for some \(q\)-hypergeometric polynomials ⋮ Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process ⋮ Scaled asymptotics for some \(q\)-functions ⋮ Plancherel-Rotach asymptotics for some \(q\)-orthogonal polynomials with complex scalings ⋮ Plancherel-Rotach asymptotics for certain basic hypergeometric series ⋮ Remarks on Ramanujan function \(A_q(z)\)

Cites Work

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• Ramanujan's ``Lost notebook. VIII: The entire Rogers-Ramanujan function
• Ramanujan's ``lost notebook. IX: The partial theta function as an entire function
• Zeros of entire functions and a problem of Ramanujan
• q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals
• Uniform Asymptotic Formula for Orthogonal Polynomials with Exponential Weight