A procedure for determining the largest computable order of Bessel functions of the second kind and Hankel functions

Routines for the computation of Bessel functions of the second kind, Y_n(z), and Hankel functions H_n^{(1/)(z) and H}sub n/⁽²)(z), may exhibit numerical overflow problems for large order n and small complex or real arguments z. An upper limit for the largest calculable order of these functions for a given argument, is derived