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On an integral transform associated with a condition of radiation, part 2

Published online by Cambridge University Press:  24 October 2008

D. Naylor
D. Naylor
Affiliation:
The University of Western Ontario
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Extract

1. In this paper, the author derives a formula of inversion for the integral transform

where a > 0, k > 0. The actual formula obtained appears as equation (8) of the present paper and is deduced from an integral formula constructed in (1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 1 , January 1975 , pp. 189 - 197
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

(1)Naylor, D.On an eigenfunction expansion associated with a condition of radiation. Proc. Cambridge Philos. Soc. 67 (1970), 107–121.CrossRefGoogle Scholar
(2)Naylor, D.On an integral transform associated with a condition of radiation. Proc. Cambridge Philos. Soc. 71 (1972), 369–379.CrossRefGoogle Scholar
(3)Naylor, D., Choo, F. C. and Barclay, D. W.On an eigenfunction expansion associated with a condition of radiation, part 2. Proc. Cambridge Philos. Soc. 74 (1973).CrossRefGoogle Scholar
(4)Chakrabarti, A.Derivation of certain finite Kontorovitch type of integral transforms. Studia Sci. Math. Hungar. 4 (1969), 45–53.Google Scholar
(5)Watson, G. N.Theory of Bessel functions, Second Edition (Cambridge University Press, 1958).Google Scholar