Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials

DOI10.1017/S0308210500003334zbMath1059.33010arXivmath/0410439MaRDI QIDQ4819943

José Luis López, Nico M. Temme

Publication date: 5 October 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410439

zbMATH Keywords

asymptotic expansionconvergent seriessaddle-point method

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical approximation and evaluation of special functions (33F05)

Related Items (6)

Multi-point Taylor expansions of analytic functions ⋮ Asymptotic root distribution of Charlier polynomials with large negative parameter ⋮ Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier ⋮ Two-point Taylor expansions in the asymptotic approximation of double integrals. Application to the second and fourth Appell functions ⋮ THE RIEMANN–HILBERT APPROACH TO GLOBAL ASYMPTOTICS OF DISCRETE ORTHOGONAL POLYNOMIALS WITH INFINITE NODES ⋮ Incomplete gamma functions for large values of their variables

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