Identifying minimal and dominant solutions for Kummer recursions

DOI10.1090/S0025-5718-08-02122-4zbMath1209.33004OpenAlexW2128653191MaRDI QIDQ3055070

Alfredo Deaño, Javier Segura, Nico M. Temme

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02122-4

zbMATH Keywords

difference equationsrecurrence relationsconfluent hypergeometric functionsWhittaker functionsKummer functionsnumerical evaluation of special functionsstability of recurrence relationsasymptotic analysis.

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Additive difference equations (39A10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure ⋮ Numerically satisfactory solutions of Kummer recurrence relations ⋮ Analytical and numerical aspects of a generalization of the complementary error function ⋮ Computational properties of three-term recurrence relations for Kummer functions

Cites Work

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• The ABC of hyper recursions
• UNIFORM ASYMPTOTIC EXPANSIONS OF LAPLACE INTEGRALS
• Numerically satisfactory solutions of hypergeometric recursions
• Uniform Asymptotic Expansions for Whittaker’s Confluent Hypergeometric Functions
• Numerical Methods for Special Functions
• Computational Aspects of Three-Term Recurrence Relations

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