Uniform asymptotics of the Stieltjes-Wigert polynomials via the Riemann-Hilbert approach

DOI10.1016/j.matpur.2005.11.005zbMath1110.30021OpenAlexW1981884905MaRDI QIDQ876116

Z. Jane Wang, Roderick Wong

Publication date: 16 April 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2005.11.005

zbMATH Keywords

zerosRiemann-Hilbert problemlogarithmic potentialuniform asymptoticsStieltjes-Wigert polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Boundary value problems in the complex plane (30E25)

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Cites Work

• Discrete Painlevé equations and their appearance in quantum gravity
• Asymptotic expansions for second-order linear difference equations with a turning point
• The moment problem associated with the Stieltjes-Wigert polynomials
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Linear difference equations with transition points
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