schebyshev.t.recurrences {orthopolynom}R Documentation

Recurrence relations for shifted Chebyshev 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 $k$ shifted Chebyshev polynomial of the first kind, T_k^* ( x ), and for orders $k$ = 0, 1, ... , $n$.

Usage

schebyshev.t.recurrences(n, normalized)

Arguments

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

Value

A data frame with the recurrence relation parameters.

Author(s)

Frederick Novomestky fnovomes@poly.edu

References

Abramowitz and Stegun (1968)

See Also

schebyshev.t.inner.products,

Examples

normalized.r <- schebyshev.t.recurrences( 10, normalized=TRUE )
unnormalized.r <- schebyshev.t.recurrences( 10, normalized=FALSE )

[Package orthopolynom version 1.0-1 Index]