Bessel functions

[john]

Hi,

concerning the roots of:

hJn(x)+xJn'(x)=0   Jn bessel function of order n

a)if h>0 there are real roots.
b)if h=0 there is a double root at x=0
c) If h<0 there is a complex root ix0 and -ix0

For the real roots I have no problem I use findzeros.

My question :how can I find the complex roots of this equation in octave.
I know roots but this is only for polynomials.

Thank you.

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