Expansions for Coulomb wave functions-Reference-Cited by-同舟云学术

Expansions for Coulomb wave functions

Published:1969 Issue:105 Volume:23 Page:51-59
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Boersma J.

Abstract

In this paper we derive a number of expansions for Whittaker functions, regular and irregular Coulomb wave functions. The main result consists of a new expansion for the irregular Coulomb wave functions of orders zero and one in terms of regular Coulomb wave functions. The latter expansions are especially useful with a view to the numerical computation of irregular Coulomb wave functions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1969-23-105/S0025-5718-1969-0237836-7/S0025-5718-1969-0237836-7.pdf

Reference11 articles.

1. National Bureau of Standards Applied Mathematics Series, No. 55;Abramowitz, Milton,1964

2. Ergebnisse der angewandten Mathematik. Bd. 2;Buchholz, Herbert,1953

3. Computational aspects of three-term recurrence relations;Gautschi, Walter;SIAM Rev.,1967

4. W. Gautschi, “Algorithm 292—regular Coulomb wave functions,” Comm. ACM, v. 9, 1966, pp. 793–795.

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