orthopolynom (version 1.0-2)

schebyshev.u.weight: Weight function for the shifted Chebyshev polynomial

Description

This function returns the value of the weight function for the order $k$ shifted Chebyshev polynomial of the second kind, $U_k^* \left( x \right)$.

Usage

schebyshev.u.weight(x)

Arguments

x

the function argument which can be a vector

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 <- schebyshev.u.weight( x )