jacobi.p.inner.products {orthopolynom} | R Documentation |
This function returns a vector with $n$+1 elements containing the inner product of an order $k$ Jacobi polynomial, P_k^{( {α ,β } )} ( x ), with itself (i.e. the norm squared) for orders $k$ = 0, 1, ... , $n$.
jacobi.p.inner.products(n,a,b)
n |
integer highest polynomial order |
a |
first polynomial parameter |
b |
first polynomial parameter |
~~ If necessary, more details than the description above ~~
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 |
Frederick Novomestky fnovomes@poly.edu
Abramowitz and Stegun (1968)
h <- jacobi.p.inner.products( 10, 2, 2 )