Asymptotics of the Discrete Chebyshev Polynomials

DOI10.1111/sapm.12018zbMath1295.33014arXiv1302.7118OpenAlexW2122723273MaRDI QIDQ5407991

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Publication date: 8 April 2014

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

Full work available at URL: https://arxiv.org/abs/1302.7118

zbMATH Keywords

asymptotic expansionsBessel functionsHahn polynomialsAiry functionsKummer functions

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)

Uses Software

• DLMF

Cites Work

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• Uniform asymptotic expansions for Meixner polynomials
• Uniform asymptotic expansion of Charlier polynomials
• Uniform Asymptotic Expansions for the Discrete Chebyshev Polynomials
• ASYMPTOTIC PROPERTIES OF ORTHOGONAL HAHN POLYNOMIALS IN A DISCRETE VARIABLE
• Uniform Airy-Type Expansions of Integrals
• ESTIMATES FOR THE ERROR TERM IN A UNIFORM ASYMPTOTIC EXPANSION OF THE JACOBI POLYNOMIALS
• GLOBAL ASYMPTOTICS OF THE HAHN POLYNOMIALS

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