McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions

DOI10.3842/sigma.2024.075zbMATH Open1548.33015MaRDI QIDQ6614599

Amparo Gil, Javier Segura, N. M. Temme

Publication date: 7 October 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionsCoulomb wave functionsMcMahon-type zeros

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Numerical computation of solutions to single equations (65H05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Lamé, Mathieu, and spheroidal wave functions (33E10)

Cites Work

• Unnamed Item
• On the roots of the Bessel and certain related functions.
• Error analysis for the computation of zeros of regular Coulomb wave function and its first derivative
• Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method
• Asymptotic Methods for Integrals
• The Zeros of Regular Coulomb Wave Functions and of Their Derivative
• Automatic Computation of Zeros of Bessel Functions and Other Special Functions
• Asymptotic expansions of Coulomb wave functions

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