ghermite.h.inner.products {orthopolynom} | R Documentation |
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, ... , $n$.
ghermite.h.inner.products(n, mu)
n |
n integer highest polynomial order |
mu |
mu polynomial parameter |
The parameter μ must be greater than -0.5.
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 <- ghermite.h.inner.products( 10, 1 )