Uniform asymptotics and zeros of a system of orthogonal polynomials defined via a difference equation

DOI10.1016/j.jmaa.2010.03.044zbMath1198.33007OpenAlexW1977179495MaRDI QIDQ984699

Hong-Yong Wang, Yu-Qiu Zhao

Publication date: 20 July 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.2010.03.044

zbMATH Keywords

uniform asymptoticsmeasure of orthogonalitysieved Pollaczek polynomialsmethod of steepest descentsDarboux's methodasymptotic zeroscubic transformation

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Other special orthogonal polynomials and functions (33C47)

Related Items (2)

Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach ⋮ Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point

Cites Work

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• On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I: Real variable
• Uniform asymptotic expansions of the Pollaczek polynomials
• The attractive Coulomb potential polynomials
• Zero distributions for discrete orthogonal polynomials
• On a uniform treatment of Darboux's method
• Asymptotic distribution of zeros of polynomials satisfying difference equations
• Two‐Point Taylor Expansions of Analytic Functions
• Uniform asymptotics of the Pollaczek polynomials via the Riemann–Hilbert approach
• On Sieved Orthogonal Polynomials. V: Sieved Pollaczek Polynomials
• Linear difference equations with transition points
• Asymptotic Behavior of the Pollaczek Polynomials and Their Zeros

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