I want to find all of roots of the complex variables functions in two ways.
(1) find the value which can make the function equals 0
(2) find the real value and imaginary value which make real part and imaginary part of function equal 0
(I know answers of these two case is not equal completely.)
The function is a non-linear function, including sin, cos and Bessel function, such as:
And, I used Analytic and fsolve to do case (1) and (2), but failure. The follow result is how I tried to find the real value answer:
It seems that both of two commands can only find some of roots.
How to find all of roots of these cases? The related .mw file is attached.
Thanks a lot.