UNIFORM ASYMPTOTIC APPROXIMATIONS FOR THE WHITTAKER FUNCTIONS Mκ,iμ(z) AND Wκ,iμ(z)

DOI10.1142/S0219530503000119zbMath1046.33004MaRDI QIDQ4474589

T. M. Dunster

Publication date: 12 July 2004

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

zbMATH Keywords

uniform asymptotic approximationconfluent hyper-geometric functions

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Approximation by other special function classes (41A30) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (1)

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

Cites Work

• Unnamed Item
• Uniform Asymptotic Solutions of Second-Order Linear Differential Equations Having a Double Pole with Complex Exponent and a Coalescing Turning Point
• Uniform Asymptotic Expansions for Whittaker’s Confluent Hypergeometric Functions
• Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions

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