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On Self-reciprocal functions for Fourier-Bessel integral transforms
Published online by Cambridge University Press: 24 October 2008
Extract
Following Hardy and Titchmarsh(1) a function f(x) is said to be self-reciprocal if it satisfies the Fourier-Bessel integral transform
where Jp(x) is a Bessel function of order P ≥ –½. This integral is denoted by Rp. The special cases P ½ and P ½, we denote by Rs and Rc, respectively.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 4 , October 1961 , pp. 778 - 781
- Copyright
- Copyright © Cambridge Philosophical Society 1961