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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


Expansions for Coulomb wave functions

Author: J. Boersma
Journal: Math. Comp. 23 (1969), 51-59
MSC: Primary 33.20
MathSciNet review: 0237836
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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.

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PII: S 0025-5718(1969)0237836-7
Article copyright: © Copyright 1969 American Mathematical Society