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Some self-reciprocal functions and kernels

Published online by Cambridge University Press:  24 October 2008

V. V. L. N. Rao
V. V. L. N. Rao
Affiliation:
Banaras Hindu University, India
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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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References

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