Article contents
On an integral of Lommel and Bessel functions
Published online by Cambridge University Press: 17 February 2009
Abstract
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 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
- 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
[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
[10]Watson, G. N., A treatise on the theory of Bessel functions (Cambridge, The University Press, New York, 1966).Google Scholar
You have
Access
- 2
- Cited by