ultraspherical.weight {orthopolynom}R Documentation

Weight function for the ultraspherical polynomial

Description

This function returns the value of the weight function for the order $k$ ultraspherical polynomial, C_k^{( α )} ( x ).

Usage

ultraspherical.weight(x,alpha)

Arguments

x the function argument which can be a vector
alpha polynomial parameter

Details

The function takes on non-zero values in the interval ( -1,1 ) .

Value

The value of the weight function

Author(s)

Frederick Novomestky fnovomes@poly.edu

References

Abramowitz and Stegun (1968)

Examples

x <- seq( -2, 2, .01 )
y <- ultraspherical.weight( x, 1 )

[Package orthopolynom version 1.0-1 Index]