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Integrals involving products of Bessel functions

Published online by Cambridge University Press:  18 May 2009

R. K. Saxena
R. K. Saxena
Affiliation:
University of JodhpurJodhpur, India
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1. Introductory. In this paper certain infinite integrals involving products of four Bessel functions of different arguments are evaluated in terms of Appell's function F4 by the methods of the operational calculus. The results obtained are believed to be new.

As usual, the conventional notation will be used to denote the classical Laplace integral relation

In the proofs of the formulae the following results will be required [1, pp. 281, 284], [3, pp. 78, 79].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 6 , Issue 3 , January 1964 , pp. 130 - 132
Copyright
Copyright © Glasgow Mathematical Journal Trust 1964

References

REFERENCES

1.Erdélyi, A. et al. , Tables of integral transforms, Vol. I (New York, 1954).Google Scholar
2.Goldstein, S., Operational representation of Whittaker's confluent hypergeometric function and Weber's parabolic cylinder functions, Proc. London Math. Soc. 34 (1932), 103–125.CrossRefGoogle Scholar
3.Watson, G. N., Theory of Bessel functions (Cambridge, 1922).Google Scholar