jacobi.g.inner.products {orthopolynom}R Documentation

Inner products of Jacobi polynomials

Description

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

Usage

jacobi.g.inner.products(n,p,q)

Arguments

n integer highest polynomial order
p first polynomial parameter
q first polynomial parameter

Details

~~ If necessary, more details than the description above ~~

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 <- jacobi.g.inner.products( 10, 3, 2 )

[Package orthopolynom version 1.0-1 Index]