hermite_polynomials: Hermite Polynomials and Related Functions

In boostmath: 'R' Bindings for the 'Boost' Math Functions

Hermite Polynomials and Related Functions

Description

Functions to compute Hermite polynomials.

Usage

hermite(n, x)

hermite_next(n, x, Hn, Hnm1)

Arguments

n	Degree of the polynomial
x	Argument of the polynomial
Hn	Value of the Hermite polynomial (H_n(x))
Hnm1	Value of the Hermite polynomial (H_{n-1}(x))

Value

A single numeric value with the computed Hermite polynomial or its next value.

See Also

Boost Documentation for more details on the mathematical background.

Examples

# Hermite polynomial H_2(0.5)
hermite(2, 0.5)
# Next Hermite polynomial H_3(0.5) using H_2(0.5) and H_1(0.5)
hermite_next(2, 0.5, hermite(2, 0.5), hermite(1, 0.5))

boostmath documentation built on Dec. 15, 2025, 5:07 p.m.