An improved method for computing Hankel transform
The purpose of this paper is to compute the Hankel transform Fn(y) of order n of a function f(x ) and its inverse transform using rationalized Haar wavelets. The integrand x f ( x ) is replaced by its wavelet decomposition. Thus representing Fn(y ) as a FourierBessel series with coefficients depending strongly on the local behavior of the function x f ( x ) , thereby getting an efficient algorithm for their numerical evaluation. Numerical evaluations of test functions with known analytical Hankel transforms illustrate the proposed algorithm.
rationalized haar wavelets fourierbessel series bessel functions finite hankel transform