A numerical evaluation of the Hankel transform of bandlimited functions
The Hankel transform \(\int^ \infty_ 0J_ \nu(p\omega)Q(\omega)\omega d\omega\) of the bandlimited function \(Q(\omega)=\int^{+1}_{- 1}P(t)e^{-i\omega t}dt\) is comptuted by using an expansion of \(P\) in terms of Chebyshev polynomials and an integral representation of the Bessel function \(J_ \nu\) of the first kind. A numerical example is given.
scientific article; zbMATH DE number 36783