Asymptotic Behavior of the Pollaczek Polynomials and Their Zeros

DOI10.1002/sapm1996963307zbMath0859.41025OpenAlexW2270559692MaRDI QIDQ4884435

Bo Rui, Roderick Wong

Publication date: 7 April 1997

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1996963307

zbMATH Keywords

Pollaczek polynomialsuniform asymptotic expansionzeros of high degree polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items

Uniform asymptotic expansions of the Pollaczek polynomials ⋮ Large parameter cases of the Gauss hypergeometric function ⋮ Recent advances in asymptotic analysis ⋮ Asymptotics and zero distribution of Padé polynomials associated with the exponential function ⋮ Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials ⋮ Critical edge behavior in the singularly perturbed Pollaczek–Jacobi type unitary ensemble ⋮ Asymptotics of the associated Pollaczek polynomials ⋮ 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 ⋮ Some elementary results concerning Pollaczek–Chebyshev polynomials ⋮ Asymptotic formulas for the zeros of the Meixner polynomials ⋮ Universality for eigenvalue correlations from the unitary ensemble associated with a family of singular weights ⋮ A uniform asymptotic expansion for Krawtchouk polynomials

Cites Work

• Uniform asymptotic expansion of Charlier polynomials
• Uniform Asymptotic Expansions of Laguerre Polynomials
• Asymptotics of Pollaczek Polynomials and Their Zeros
• Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions
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