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transform of order of a function f(r) is given by

:

where is the Bessel function of the first kind of order with . The inverse Hankel transform of is defined as

:

which can be readily verified using the orthogonality relationship described below.

Domain of definition

Inverting a Hankel transform of a function f(r) is valid at every point at which f(r) is continuous, provided that the function is defined in (0, ?), is piecewise continuous

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