Some self-reciprocal functions and kernels
Published online by Cambridge University Press: 24 October 2008
Extract
The aim of this note is to find out some self-reciprocal functions and kernels for Fourier-Bessel integral transforms. Following Hardy and Titchmarsh(i), we shall denote by Rp the class of functions which satisfy the homogeneous integral equation
where Jp(x) is a Bessel function of order p ≥ − ½. For particular values of p = ½, − ½, we write Rs and Rc irrespectively.
- Type
- Research Notes
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 3 , July 1961 , pp. 690 - 692
- Copyright
- Copyright © Cambridge Philosophical Society 1961
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