ghermite.h.inner.products {orthopolynom}R Documentation

Inner products of generalized Hermite polynomials

Description

This function returns a vector with $n$+1 elements containing the inner product of an order $k$ generalized Hermite polynomial, H_k^{( μ )} ( x ), with itself (i.e. the norm squared) for orders $k$ = 0, 1, ... , $n$.

Usage

ghermite.h.inner.products(n, mu)

Arguments

n n integer highest polynomial order
mu mu polynomial parameter

Details

The parameter μ must be greater than -0.5.

Value

A vector with $n$+1 elements

1 inner product of order 0 orthogonal polynomial
2 inner product of order 1 orthogonal polynomial
n+1 inner product of order $n$+1 orthogonal polynomial

Author(s)

Frederick Novomestky fnovomes@poly.edu

References

Abramowitz and Stegun (1968)

Examples

h <- ghermite.h.inner.products( 10, 1 )

[Package orthopolynom version 1.0-1 Index]