ghermite.h.recurrences {orthopolynom} | R Documentation |
This function returns a data frame with $n$+1 rows and four named columns containing the coefficient vectors c, d, e and f of the recurrence relations for the order $k$ generalized Hermite polynomial, H_k^{( μ )} ( x ), and for orders $k$ = 0, 1, ... , $n$.
ghermite.h.recurrences(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 data frame with the recurrence relation parameters.
Frederick Novomestky fnovomes@poly.edu
Alvarez-Nordase, Atakishiyeva, Atakishiyeva (2004)
normalized.r <- ghermite.h.recurrences( 10, 1, normalized=TRUE ) unnormalized.r <- ghermite.h.recurrences( 10, 1, normalized=FALSE )