Plancherel-Rotach asymptotics for the Charlier polynomials

DOI10.1007/s003659900067zbMath0894.33004OpenAlexW2104402187MaRDI QIDQ1384648

William M. Y. Goh

Publication date: 20 April 1998

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

Full work available at URL: https://doi.org/10.1007/s003659900067

zbMATH Keywords

Plancherel-Rotach asymptoticsCharlier polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (11)

Uniform Asymptotic Expansions for the Discrete Chebyshev Polynomials ⋮ Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials ⋮ Asymptotic root distribution of Charlier polynomials with large negative parameter ⋮ Asymptotics for the ratio and the zeros of multiple Charlier polynomials ⋮ Asymptotics for the ratio and the zeros of multiple Charlier polynomials ⋮ Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier ⋮ Asymptotics of the Charlier polynomials via difference equation methods ⋮ THE RIEMANN–HILBERT APPROACH TO GLOBAL ASYMPTOTICS OF DISCRETE ORTHOGONAL POLYNOMIALS WITH INFINITE NODES ⋮ Uniform asymptotic expansions for Charlier polynomials ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials ⋮ \(L^{p}\)-norms and information entropies of Charlier polynomials

This page was built for publication: Plancherel-Rotach asymptotics for the Charlier polynomials