COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments

DOI10.1016/0010-4655(85)90025-6zbMath0578.65016OpenAlexW1998573331MaRDI QIDQ1066609

I. J. Thompson, A. R. Barnett

Publication date: 1985

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(85)90025-6

zbMATH Keywords

scatteringresonancescontinued fractionradial derivativesRegge poleshypergeometricclosedchannelsreactionsoff-shellCoulomb wave functionsWhittakercylindrical Besselspherical Bessels

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Spherical harmonics (33C55) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items

Connection formulas between Coulomb wave functions ⋮ Computing eigenvalues of singular Sturm-Liouville problems ⋮ On the parabolic equation method for the problem of diffraction by strongly elongated spheroid ⋮ Analytical solutions to the generalized spheroidal wave equation and the Green’s function of one-electron diatomic molecules ⋮ Eigenvalue problem for a coupled channel Schrödinger equation with application to the description of deformed nuclear systems

Uses Software

• COULFG
• COULCC

Cites Work

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• Continued-fraction evaluation of Coulomb functions F//alpha(eta,x), G//alpha(eta,x) and their derivatives
• High-precision evaluation of the regular and irregular Coulomb wavefunctions
• Tables of Whittaker functions and their logarithmic derivatives

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