orthopolynom (version 1.0-2)

ghermite.h.weight: Weight function for the generalized Hermite polynomial

Description

This function returns the value of the weight function for the order $k$ generalized Hermite polynomial, $H_k^{\left( \mu \right)} \left( x \right)$.

Usage

ghermite.h.weight(x, mu)

Arguments

x

a numeric vector function argument

mu

polynomial parameter

Value

• The value of the weight function

Details

The function takes on non-zero values in the interval $\left( -\infty,\infty \right)$. The parameter $\mu$ must be greater than -0.5.

References

Abramowitz and Stegun (1968)

Examples

x <- seq( -2, 2, .01 )
y <- ghermite.h.weight( x, 1 )