Some self-reciprocal functions and kernels
Published online by Cambridge University Press: 24 October 2008
Extract
1. The object of this note is to deduce some self-reciprocal functions and kernels for Hankel transforms. We denote by Rμ the class of functions which are self-reciprocal for Hankel transforms of order μ; that is, those that satisfy
where Jμ(x) is a Bessel function of order μ. In particular we write R8 for R½ and Rc for R−½.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 55 , Issue 1 , January 1959 , pp. 62 - 65
- Copyright
- Copyright © Cambridge Philosophical Society 1959
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