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.
Examples
# Hermite polynomial H_2(0.5)
hermite(2, 0.5)
#> [1] -1
# 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))
#> [1] -5