Parabolic Cylinder Functions: Examples of Error Bounds for Asymptotic Expansions

DOI10.1142/S0219530503000168zbMath1049.33003arXivmath/0205045OpenAlexW1974720292MaRDI QIDQ4474592

Raimundas Vidunas, Nico M. Temme

Publication date: 12 July 2004

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205045

zbMATH Keywords

error boundsasymptotic expansionsparabolic cylinder functionsnumerical evaluation of special functions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Numerical approximation and evaluation of special functions (33F05)

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Cites Work

• Unnamed Item
• Numerical and asymptotic aspects of parabolic cylinder functions
• Uniform Airy-Type Expansions of Integrals
• On the Asymptotic Solution of Second-Order Differential Equations Having an Irregular Singularity of Rank One, with an Application to Whittaker Functions

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