Symbolic evaluation of coefficients in Airy-type asymptotic expansions

DOI10.1016/S0022-247X(02)00026-4zbMath1001.65024arXivmath/0103184MaRDI QIDQ1604609

Nico M. Temme, Raimundas Vidunas

Publication date: 8 July 2002

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

Full work available at URL: https://arxiv.org/abs/math/0103184

zbMATH Keywords

symbolic computationsAiry functionsparabolic cylinder functionsAiry-type asymptotic expansionsMaple algorithms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical approximation and evaluation of special functions (33F05)

Related Items (4)

Multi-point Taylor expansions of analytic functions ⋮ Error bounds for uniform asymptotic expansions-modified Bessel function of purely imaginary order ⋮ Large degree asymptotics of generalized Bessel polynomials ⋮ Large degree asymptotics of generalized Bernoulli and Euler polynomials

Uses Software

• Maple

Cites Work

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• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Numerical and asymptotic aspects of parabolic cylinder functions
• Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
• Uniform Asymptotic Expansions for Whittaker’s Confluent Hypergeometric Functions
• Uniform Airy-Type Expansions of Integrals
• Uniform asymptotic expansions of integrals with stationary point near algebraic singularity

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