Bessel functions of complex argument

Marc Glisse marc.glisse at
Thu Mar 23 20:41:50 CET 2023

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...


you are asking in the wrong place. GMP is the lowest level and handles 
integers. MPFR handles reals. And MPC 
( deals with complex numbers.

Marc Glisse

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