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On an integral of Lommel and Bessel functions

Published online by Cambridge University Press:  17 February 2009

M. Aslam Chaudhry
M. Aslam Chaudhry
Affiliation:
Dept of Math. Sciences, King Fahd Univ. of Petroleum and Minerals, Dhahran, Saudi Arabia.
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Abstract

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In this paper we have evaluated an infinite integral of product of the Lommel and Bessel functions and powers. Some special cases of the result are discussed.

Type
Research Article
Information
The ANZIAM Journal , Volume 35 , Issue 4 , April 1994 , pp. 439 - 444
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Carrier, G. F. and Pearson, C. E., Functions of a complex variable (McGraw-Hill, 1966).Google Scholar
[2]Erdelyi, A. et al. , Higher transcendental functions, Volume 1 (McGraw-Hill Book Company, Inc., New York, 1954).Google Scholar
[3]Erdelyi, A. et al. , Tables of integral transforms, Volume 1 (McGraw-Hill Book Company, Inc., New York, 1954).Google Scholar
[4]Gradshteyn, I. S. and Ryzhik, I. M., Tables of integrals, series and products (Academic Press, New York, 1980).Google Scholar
[5]Jackson, J. D., Classical electrodynamics, 2nd ed. (John Wiley & Sons, 1975).Google Scholar
[6]McLachlan, N. W., “Sound pressure at any point on vibrating disk”, Phil. Mag. 14 (1932) 1012.CrossRefGoogle Scholar
[7]McLachlan, N. W., Bessel functions for engineers, 2nd ed. (Oxford, The University Press, 1955).Google Scholar
[8]McLachlan, N. W. and Mayers, A. L., “Integrals involving Bessel and Struve functions”, Phil. Mag. 21 (1936) 437–448.CrossRefGoogle Scholar
[9]and, SiemonWalker, J., The analytic theory of light (Cambridge, New York, 1904).Google Scholar
[10]Watson, G. N., A treatise on the theory of Bessel functions (Cambridge, The University Press, New York, 1966).Google Scholar