Uniform Asymptotic Expansions of a Class of Integrals in Terms of Modified Bessel Functions, with Application to Confluent Hypergeometric Functions
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Publication:3468074
DOI10.1137/0521013zbMath0693.41033OpenAlexW2084170176MaRDI QIDQ3468074
Publication date: 1990
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://ir.cwi.nl/pub/2392
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Asymptotic representations in the complex plane (30E15)
Related Items (7)
Uniform asymptotic expansions of integrals: A selection of problems ⋮ Transformation to canonical form for uniform asymptotic expansions ⋮ Numerical computation of 2D Sommerfeld integrals - decomposition of the angular integral ⋮ A new expansion of the confluent hypergeometric function in terms of modified Bessel functions ⋮ Numerical methods for the computation of the confluent and Gauss hypergeometric functions ⋮ Uniform asymptotic methods for integrals ⋮ Buchholz polynomials: A family of polynomials relating solutions of confluent hypergeometric and Bessel equations
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