Few preliminary Maple worksheets are given, showing details of the new
fourth order method for computing complex zeros of special functions
satisfying second order ODEs:

Zeros of Bessel polynomials

Zeros of Bessel functions

Zeros of Parabolic Cylinder functions (contains an example for complex order)

This is work in progress. The algorithm for Bessel polynomials is closer
to final form that for Bessel functions. For PCFs we ony give some examples.
The final programs will be soon available, also for other functions.