orthopolynom (version 1.0-2)

jacobi.g.weight: Weight function for the Jacobi polynomial

Description

This function returns the value of the weight function for the order $k$ Jacobi polynomial, $G_k \left( {p,q,x} \right)$.

Usage

jacobi.g.weight(x,p,q)

Arguments

x

the function argument which can be a vector

p

the first polynomial parameter

q

the second polynomial parameter

Value

• The value of the weight function

Details

The function takes on non-zero values in the interval $\left( 0,1 \right)$.

References

Abramowitz and Stegun (1968)

Examples

x <- seq( -2, 2, .01 )
y <- jacobi.g.weight( x, 3, 2 )