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Two Integrals involving Modified Bessel Functions of the Second Kind

Published online by Cambridge University Press:  18 May 2009

B. W. Conolly
B. W. Conolly
Affiliation:
Ilford, Essex.
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In § 2 a product of two modified Bessel Functions of the Second Kind is expressed as an integral with a function of the same type as a factor of the integrand. In § 3 an integral involving a product of these functions, regarded as functions of their orders, is evaluated in terms of another function of this kind. These results were suggested by a study of Mellin's inversion formula.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 2 , Issue 3 , July 1955 , pp. 147 - 148
Copyright
Copyright © Glasgow Mathematical Journal Trust 1955

References

REFERENCES

(1)Nicholson, J. W., Quart. J. Math., 42 (1911), 220–223.Google Scholar
(2),(3)Watson, G. N., Bessel Functions, pp. 182, 183.Google Scholar
(4)Titchmarsh, E. C., Fourier Integrals, p. 197.Google Scholar
(5)MacRobert, T. M., Complex Variable, 4th ed., p. 374.Google Scholar