orthopolynom (version 1.0-2)

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

Description

This function returns the value of the weight function for the order $k$ Jacobi polynomial, $P_k^{\left( {\alpha ,\beta } \right)} \left( x \right)$.

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

Value

• The value of the weight function

Details

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

References

Abramowitz and Stegun (1968)

Examples

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