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Self reciprocal properties of certain functions

Published online by Cambridge University Press:  24 October 2008

V. V. L. N. Rao
V. V. L. N. Rao
Affiliation:
MusheerabadHyderabad (Dn)-20, India
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Extract

The object of this note is to study the properties of some functions self reciprocal in the Hankel transform. I denote a function f(x) as Rμ, if it is self reciprocal for Hankel transforms of order μ so that it is given by

where Jμ(x) is a Bessel function of order μ. If μ = ½, f(x) is denoted by Rs while f(x) is written as Rc when μ = − ½.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 3 , July 1961 , pp. 561 - 567
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

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