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Integrals involving Bessel and Legendre functions
Published online by Cambridge University Press: 20 January 2009
Extract
Felsen (1) has shown that when a plane wave is incident along the axis of a rigid cone of narrow apex angle an approximate expression for the scattered wave involves an integral of the form
where is a Bessel function of the third kind, k a constant and
, is the Legendre (conical) function of the first kind.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 14 , Issue 4 , December 1965 , pp. 269 - 272
- Copyright
- Copyright © Edinburgh Mathematical Society 1965
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