Uniform asymptotics of some \(q\)-orthogonal polynomials

DOI10.1016/j.jmaa.2009.10.038zbMath1189.33033OpenAlexW2028680979MaRDI QIDQ847054

Xiang-Sheng Wang, Roderick Wong

Publication date: 12 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.038

zbMATH Keywords

\(q\)-Airy function\(q\)-Laguerre polynomial\(q\)-theta function\(q^{-1}\)-Hermite polynomialStieltjes-Wigert polynomial

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Asymptotic representations in the complex plane (30E15)

Related Items (4)

Basic hypergeometric polynomials with zeros on the unit circle ⋮ Asymptotics for some \(q\)-hypergeometric polynomials ⋮ Factorization of the characteristic function of a Jacobi matrix ⋮ GLOBAL ASYMPTOTICS OF STIELTJES–WIGERT POLYNOMIALS

Cites Work

• Chaotic and periodic asymptotics for q-orthogonal polynomials
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