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Expansions of certain Whittaker functions

Published online by Cambridge University Press:  24 October 2008

A. S. Meligy
A. S. Meligy
Affiliation:
Faculty of ScienceUniversity of AlexandriaAlexandriaEgypt
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Abstract

An expansion of the Whittaker function Wk, m(z) in terms of Bessel functions is given for 2m an integer or zero. Simple formulae are derived for the cases of m = 0, ½, 1 and . The case m = 0 provides expansions for the exponential, sine, cosine and similar integrals. The cases m = ½ and provide expansions for the irregular Coulomb wave functions having angular momenta zero and one.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 56 , Issue 3 , July 1960 , pp. 233 - 239
Copyright
Copyright © Cambridge Philosophical Society 1960

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References

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