Continued-fraction evaluation of Coulomb functions F//alpha(eta,x), G//alpha(eta,x) and their derivatives
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Publication:1162789
DOI10.1016/0021-9991(82)90012-2zbMath0482.65012OpenAlexW2087232376MaRDI QIDQ1162789
Publication date: 1982
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(82)90012-2
Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (5)
Coulomb functions for attractive and repulsive potentials and for positive and negative energies ⋮ High-precision evaluation of the regular and irregular Coulomb wavefunctions ⋮ Precise Coulomb wave functions for a wide range of complex \(\ell , \eta \) and \(z\) ⋮ Coulomb and Bessel functions of complex arguments and order ⋮ COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments
Cites Work
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- Numerical Evaluation of Continued Fractions
- Improvement in Recurrence Techniques for the Computation of Bessel Functions of Integral Order
- Computational Aspects of Three-Term Recurrence Relations
- Expansions for Coulomb Wave Functions
- A Survey of Practical Rational and Polynomial Approximation of Functions
- Computer Investigation of Coulomb Wave Functions
- High Precision Evaluation of the Irregular Coulomb Wave Functions
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