Uniform asymptotics of the Pollaczek polynomials via the Riemann–Hilbert approach

DOI10.1098/rspa.2007.0385zbMath1145.33302OpenAlexW2141637644MaRDI QIDQ3531344

Jian-Rong Zhou, Yu-Qiu Zhao

Publication date: 23 October 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2007.0385

zbMATH Keywords

Pollaczek polynomialsRiemann-Hilbert approachuniform asymptotic expansionairy function

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (12)

Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach ⋮ Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation ⋮ The preferences of homo moralis are unstable under evolving assortativity ⋮ Critical edge behavior in the singularly perturbed Pollaczek–Jacobi type unitary ensemble ⋮ Clarkson-McLeod solutions of the fourth Painlevé equation and the parabolic cylinder-kernel determinant ⋮ Asymptotics of the deformed higher order Airy-kernel determinants and applications ⋮ Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble ⋮ Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight ⋮ Resurgence relation and global asymptotic analysis of orthogonal 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

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