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Ramanujan's Master Theorem and two formulas for zero-order Hankel transform
A. V. Kisselev
Using Ramanujan's Master Theorem, two formulas are derived which define the Hankel transforms of order zero with even functions by inverse Mellin transforms, provided these functio…
math.CA2018
Exact expansions of Hankel transforms and related integrals
A. V. Kisselev
The Hankel transform H_n[f(x)](q) = int_0^infinity xf(x)J_n(qx)dx is studied for integer n>=-1 and positive parameter q. It is proved that the Hankel transform is given by uniforml…