Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-25T04:37:47.385Z Has data issue: false hasContentIssue false
  • English
  • Français

Evaluation of Certain Integrals Involving Bessel Functions

Published online by Cambridge University Press:  20 January 2009

E. Deutsch
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Information
Proceedings of the Edinburgh Mathematical Society , Volume 13 , Issue 4 , December 1963 , pp. 285 - 290
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), 16–26.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), 529–551.Google Scholar
Watson, G. N.The theory of Bessel functions (Cambridge University Press, 2nd edition, 1944).Google Scholar