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Expansions of generalized Whittaker functions

Published online by Cambridge University Press:  24 October 2008

L. J. Slater
L. J. Slater
Affiliation:
Newnham CollegeCambridge
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Abstract

In this paper I give a direct proof of a new expansion of the Whittaker function M(a; b; x) as a series of Bessel functions, and some generalizations of this result for the functions 2F2(x) and 4F4(x).

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 50 , Issue 4 , October 1954 , pp. 628 - 631
Copyright
Copyright © Cambridge Philosophical Society 1954

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References

REFERENCE

(1)Bailey, W. N.Generalized hypergeometric series. (Camb. Tract, Math. no. 32, 1935).Google Scholar