New series expansions for the confluent hypergeometric function \(M(a,b,z)\)

DOI10.1016/j.amc.2014.02.099zbMath1334.33019OpenAlexW1722030767MaRDI QIDQ272362

Ester Pérez Sinusía, José Luis López

Publication date: 20 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.099

zbMATH Keywords

series expansionconfluent hypergeometric functionTaylor expansionmulti-point Taylor expansion

Mathematics Subject Classification ID

Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (3)

Convergent expansions of the confluent hypergeometric functions in terms of elementary functions ⋮ Convergent expansions of the incomplete gamma functions in terms of elementary functions ⋮ New series expansions of the \(_3F_2\) function

Uses Software

• DLMF

Cites Work

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• New series expansions of the Gauss hypergeometric function
• A new expansion of the confluent hypergeometric function in terms of modified Bessel functions
• Two‐Point Taylor Expansions of Analytic Functions
• UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS III
• Multi-point Taylor expansions of analytic functions
• The Confluent Hypergeometric Function
• Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions
• Computing the confluent hypergeometric function, \(M(a,b,x)\)

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