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Some expansions of generalized Whittaker functions

Published online by Cambridge University Press:  24 October 2008

H. M. Srivastava
H. M. Srivastava
Affiliation:
Jodhpur University, India
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Extract

In the usual notation let

where (a)n = a(a + 1)(a + 2)…(a + n − 1), (a)0 = 1.

Dr L. J. Slater ((3), page 628) gave an expansion of the form

for all values of n and t, real or complex.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 4 , October 1965 , pp. 895 - 896
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1) Bailey, W. N. Generalized hypergeometric series (Cambridge, 1935).Google Scholar
(2) Luke, Y. L. Integrals of Besael functions (New York, 1962).Google Scholar
(3) Slater, L. J. Expansions of generalized Whittaker functions. Proc. Cambridge Philos. Soc. 50 (1954), 628–631.Google Scholar