Function bacon_sci::special::hermite

pub fn hermite<N: ComplexField>(
    n: u32, 
    tol: N::RealField
) -> Result<Polynomial<N>, String>

Get the nth hermite polynomial.

Gets the nth physicist's hermite polynomial over a specified field. This is done using the recurrance relation so the normalization is standard for the physicist's hermite polynomial.

Examples

use bacon_sci::special::hermite;
fn example() {
    let h_3 = hermite::<f64>(3, 1e-8).unwrap();
    assert_eq!(h_3.order(), 3);
    assert!(h_3.get_coefficient(0).abs() < 0.0001);
    assert!((h_3.get_coefficient(1) - 12.0).abs() < 0.0001);
    assert!(h_3.get_coefficient(2).abs() < 0.0001);
    assert!((h_3.get_coefficient(3) - 8.0).abs() < 0.0001);
}