ghermite.h.recurrences {orthopolynom}R Documentation

Recurrence relations for generalized Hermite polynomials

Description

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, ... , $n$.

Usage

ghermite.h.recurrences(n, mu, normalized = FALSE)

Arguments

n n integer highest polynomial order
mu mu polynomial parameter
normalized normalized boolean value which, if TRUE, returns recurrence relations for normalized polynomials

Details

The parameter μ must be greater than -0.5.

Value

A data frame with the recurrence relation parameters.

Author(s)

Frederick Novomestky fnovomes@poly.edu

References

Alvarez-Nordase, Atakishiyeva, Atakishiyeva (2004)

See Also

ghermite.h.inner.products,

Examples

normalized.r <- ghermite.h.recurrences( 10, 1, normalized=TRUE )
unnormalized.r <- ghermite.h.recurrences( 10, 1, normalized=FALSE )

[Package orthopolynom version 1.0-1 Index]