Uniform asymptotic expansions of the Pollaczek polynomials

DOI10.1016/j.cam.2005.01.049zbMath1088.41018OpenAlexW2024625298MaRDI QIDQ818239

Yu-Qiu Zhao, Jian-Rong Zhou

Publication date: 24 March 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.01.049

zbMATH Keywords

Airy functionPollaczek polynomialsuniform asymptotic expansionparabolic cylinder function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other special orthogonal polynomials and functions (33C47)

Related Items

Uniform asymptotics of the Pollaczek polynomials via the Riemann–Hilbert approach ⋮ Uniform asymptotics and zeros of a system of orthogonal polynomials defined via a difference equation ⋮ UNIFORM ASYMPTOTICS OF A SYSTEM OF SZEGÖ CLASS POLYNOMIALS VIA THE RIEMANN–HILBERT APPROACH ⋮ Universality for eigenvalue correlations from the unitary ensemble associated with a family of singular weights

Cites Work

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• On a uniform treatment of Darboux's method
• A uniform asymptotic expansion of the single variable Bell polynomials
• Hyperasymptotics for integrals with saddles
• Second-order linear differential equations with two turning points
• Uniform Airy-Type Expansions of Integrals
• Asymptotics of Pollaczek Polynomials and Their Zeros
• Asymptotic Behavior of the Pollaczek Polynomials and Their Zeros
• Uniform asymptotic expansions of integrals with stationary point near algebraic singularity
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION