jacobi.p.weight {orthopolynom}R Documentation

Weight function for the Jacobi polynomial

Description

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

Usage

jacobi.p.weight(x,alpha,beta)

Arguments

x the function argument which can be a vector
alpha the first polynomial parameter
beta the second 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 <- jacobi.p.weight( x, 2, 2 )

[Package orthopolynom version 1.0-1 Index]