On the transition of Charlier polynomials to the Hermite function

DOI10.1007/s00365-021-09559-wOpenAlexW3207996883MaRDI QIDQ2099829

Martin N. P. Nilsson

Publication date: 18 November 2022

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2557

zbMATH Keywords

uniform convergenceasymptoticorthogonal polynomialspecial functionsharp rate bound

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) Rate of convergence, degree of approximation (41A25)

Uses Software

• DLMF

Cites Work

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• Some Properties of the Erlang Loss Function
• Uniform asymptotic expansions for Charlier polynomials

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