Bessel functions of complex argument

[Marc Glisse]

On Thu, 23 Mar 2023, Riccardo Messina wrote:

> I am really new to both MPFR and GMP. My current problem is the 
> evaluation of Bessel functions J and H(1) for complex argument with 
> multiple precision. I have seen the implementation of J in MPFR for real 
> argument but, if I am correct, this function has not been developed in 
> GMP for complex arguments. Could you please confirm to me that this is 
> the case? Do you have any suggestions on how to proceed? I guess that 
> "generalizing" the function defined in MPFR to complex arguments is not 
> that straighforward...

Hello,

you are asking in the wrong place. GMP is the lowest level and handles 
integers. MPFR handles reals. And MPC 
(https://www.multiprecision.org/mpc/) deals with complex numbers.

-- 
Marc Glisse