[′häŋk·əl ‚tranz‚fȯrm] (mathematics) The Hankel transform of order m of a real function ƒ(t) is the function F (s) given by the integral from 0 to ∞ of ƒ(t) tJm(st) dt, where Jmdenotes the m th-order Bessel function. Also known as Bessel transform; Fourier-Bessel transform.