The confluent hypergeometric functions \(M(a,b;z)\) and \(U(a,b;z)\) for large \(b\) and \(z\)

DOI10.1016/J.CAM.2009.02.072zbMath1185.33005OpenAlexW1991951515MaRDI QIDQ1044657

José Luis López, Pedro J. Pagola

Publication date: 18 December 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.072

zbMATH Keywords

asymptotic expansionsconfluent hypergeometric functions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

Einstein relation for electrons in an electric field ⋮ Numerical methods for the computation of the confluent and Gauss hypergeometric functions ⋮ Numerical model for macroscopic quantum superpositions based on phase-covariant quantum cloning ⋮ An extension of Laplace's method

Cites Work

• Unnamed Item
• Asymptotische Entwicklungen der konfluenten hypergeometrischen Funktionen U(a,b,z) und M(a,b,z) für große Werte von b und z. (Asymptotic expansions of confluent hypergeometric functions U(a,b,z) and M(a,b,z) for large values of b and z)
• The Laplace's and steepest descents methods revisited
• Uniform Asymptotic Expansions for Whittaker’s Confluent Hypergeometric Functions
• Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions
• Uniform Asymptotic Expansions of Confluent Hypergeometric Functions
• UNIFORM ASYMPTOTIC APPROXIMATIONS FOR THE WHITTAKER FUNCTIONS M_κ,iμ(z) AND W_κ,iμ(z)
• An Asymptotic Expansion of W k,m (z) with Large Variable and Parameters

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