Bessel functions of complex argument

Paul Zimmermann Paul.Zimmermann at
Fri Mar 24 07:33:04 CET 2023

> > 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.

and since the Bessel functions are not available in MPC, I would recommend
Arb :

Paul Zimmermann

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