Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions

DOI10.1007/s00211-010-0303-xzbMath1195.65025OpenAlexW2107082792MaRDI QIDQ993376

Nico M. Temme, José Luis López

Publication date: 10 September 2010

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/16604

zbMATH Keywords

asymptotic expansionsBessel functionscomputation of special functionsconfluent hypergeometric functionsKummer functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20)

Related Items (3)

Strong and ratio asymptotics for Laguerre polynomials revisited ⋮ Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure ⋮ New recurrence relations for several classical families of polynomials

Cites Work

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• A new expansion of the confluent hypergeometric function in terms of modified Bessel functions
• Large degree asymptotics of generalized Bernoulli and Euler polynomials
• Computation of parabolic cylinder functions by means of a Tricomi expansion
• Buchholz polynomials: A family of polynomials relating solutions of confluent hypergeometric and Bessel equations
• Sulle funzioni ipergeometriche confluenti
• Asymptotic Approximations of Integrals
• Two‐Point Taylor Expansions of Analytic Functions
• On a tricomi series representation for the generalized exponential integral
• Multi-point Taylor expansions of analytic functions
• Numerical Methods for Special Functions
• The Confluent Hypergeometric Function

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