Computational properties of three-term recurrence relations for Kummer functions

DOI10.1016/j.cam.2008.03.051zbMath1179.65027OpenAlexW2157303084MaRDI QIDQ1044644

Alfredo Deaño, Javier Segura, Nico M. Temme

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.2008.03.051

zbMATH Keywords

numerical examplesasymptotic analysisLaguerre polynomialsconfluent hypergeometric functionsWhittaker functionsKummer functionsCoulomb wave functionsstability of recurrence relations

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Numerical approximation and evaluation of special functions (33F05)

Related Items (2)

Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions ⋮ Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coulomb and Bessel functions of complex arguments and order
• Identifying minimal and dominant solutions for Kummer recursions
• Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions
• Uniform Asymptotic Expansions for Whittaker’s Confluent Hypergeometric Functions
• Numerical Methods for Special Functions
• Computational Aspects of Three-Term Recurrence Relations

This page was built for publication: Computational properties of three-term recurrence relations for Kummer functions