UNIFORM ASYMPTOTIC APPROXIMATIONS FOR THE MEIXNER–SOBOLEV POLYNOMIALS

DOI10.1142/S0219530512500169zbMath1248.33025OpenAlexW1529080099MaRDI QIDQ2909069

A. B. Olde Daalhuis, Sarah Farid Khwaja

Publication date: 29 August 2012

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530512500169

zbMATH Keywords

zerosuniform asymptotic approximationsMeixner-Sobolev polynomials

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Other special orthogonal polynomials and functions (33C47) Asymptotic representations in the complex plane (30E15)

Related Items (2)

New analytic properties of nonstandard Sobolev-type Charlier orthogonal polynomials ⋮ \(\varDelta\)-Meixner-Sobolev orthogonal polynomials: Mehler-Heine type formula and zeros

Uses Software

• DLMF

Cites Work

• A generating function for nonstandard orthogonal polynomials involving differences: the Meixner case
• Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials
• Inner products involving differences: the meixner—sobolev polynomials
• Uniform asymptotic expansions of integrals with stationary point near algebraic singularity
• Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions

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