Crate spfunc

spfunc

Rust crate for numerical calculation of special functions.

This crate can calculate each special function for f32, f64, Complex32, Complex64 (from num_complex crate).

Note

This crate is still in the development stage and the numerical calculations are not so accurate (especially Hurwitz zeta function).

Functions

The Gamma Function

• The gamma function
• The digamma function
• The polygamma function

The Zeta Function

• The Riemann zeta function
• The Hurwitz zeta function

How to use

use spfunc::gamma::*;
use cauchy::{c32, c64};

fn main() {
    println!("Gamma(1.0) = {}", gamma(1.0));
    println!("ln(Gamma(1.0)) = {}", gamma_ln(1.0));

    println!("Gamma(1.2+3.4i) = {}", gamma(c32::new(1.2, 3.4)));
    println!("ln(Gamma(1.2+3.4i)) = {}", gamma_ln(c32::new(1.2, 3.4)));
    
    println!("DiGamma(1.2+3.4i) = {}", digamma(c64::new(1.2, 3.4)));
    println!("TriGamma(1.2+3.4i) = {}", polygamma(c64::new(1.2, 3.4), 1))
}

Modules

complex

How to deal with complex numbers.

consts

Constant values used in this crate.

gamma

The family of the gamma function.

utils

Utility functions.

zeta

Riemann and Hurwitz zeta function.