ghermite.h.polynomials {orthopolynom} | R Documentation |
This function returns a list with $n$+1 elements containing the order $k$ generalized Hermite polynomials, H_k^{( μ )} ( x ), for orders $k$ = 0, 1, ..., $n$.
ghermite.h.polynomials(n, mu, normalized = FALSE)
n |
n integer highest polynomial order |
mu |
mu polynomial parameter |
normalized |
normalized boolean value which, if TRUE, returns recurrence relations for normalized polynomials |
The parameter μ must be greater than -0.5.
A list of $n$+1 polynomial objects
1 |
order 0 generalized Hermite polynomial |
2 |
order 1 generalized Hermite polynomial |
n+1 |
order $n$ generalized Hermite polynomial |
Frederick Novomestky fnovomes@poly.edu
Alvarez-Nordase, Atakishiyeva, Atakishiyeva (2004)
ghermite.h.recurrences
,
orthogonal.polynomials
,
orthonormal.polynomials
normalized.p.list <- ghermite.h.polynomials( 10, 1, normalized=TRUE ) unnormalized.p.list <- ghermite.h.polynomials( 10, 1, normalized=FALSE )