On: “Numerical integration of related Hankel transforms by quadrature and continued fraction expansion” by A. D. Chave (GEOPHYSICS, 48, p. 1671–1686, December, 1983).

Abstract

Chave presents an excellent algorithm and computer subprogram that evaluate Hankel transforms by quadrature and continued fraction summation. This subprogram would be a valuable addition to any mathematical computer library. Chave refers to digital filter (convolution) methods as “the standard numerical approach to the computation of Hankel transforms,” and makes numerous references to my published work (Anderson, 1979, 1982). However, some readers may misinterpret some of his statements regarding convolution methods, which I hope to clarify by this discussion.