Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions

DOI10.1007/S10444-018-9589-5zbMath1404.33007arXiv1705.01190OpenAlexW2963884799MaRDI QIDQ1633006

T. M. Dunster, Amparo Gil, Javier Segura

Publication date: 18 December 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01190

zbMATH Keywords

asymptotic expansionsLaguerre polynomialsnumerical computationturning point theoryconfluent hypergeometric functionsWKB methods

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Numerical approximation and evaluation of special functions (33F05)

Related Items (4)

High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions ⋮ Simplified error bounds for turning point expansions ⋮ High-precision computation of the confluent hypergeometric functions via Franklin-Friedman expansion ⋮ Uniform asymptotic expansions for solutions of the parabolic cylinder and Weber equations

Uses Software

• DLMF
• LAGUERRE
• LaguerrePol

Cites Work

• Unnamed Item
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• Computation of the Coefficients Appearing in the Uniform Asymptotic Expansions of Integrals

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