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Evaluation of Certain Integrals Involving Bessel Functions

Published online by Cambridge University Press:  20 January 2009

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In the solution of boundary value problems in mathematical physics by means of integral transforms we often find that the solution of a particular problem can be expressed in terms of integrals of the type

where r and z are positive and m and n are integers satisfying the convergence condition m+n>−2.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1963

References

REFERENCES

Harding, J. W. and Sneddon, I. N.The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch, Proc. Camb. Phil. Soc., 41 (1945), 1626.CrossRefGoogle Scholar
Sneddon, I. N.Fourier transforms (McGraw-Hill Book Co., New York, 1951).Google Scholar
Eason, G., Noble, B., Sneddon, I. N.On certain integrals of Lipschitz-Hankel type involving products of Bessel functions, Phil. Trans. Royal Soc. London, series A, 247 (1955), 529551.Google Scholar
Watson, G. N.The theory of Bessel functions (Cambridge University Press, 2nd edition, 1944).Google Scholar