orthopolynom (version 1.0-3)

polynomial.derivatives: Create list of polynomial derivatives

Description

This function returns a list with $n + 1$ elements containing polynomial objects which are the derivatives of the order $k$ polynomials for orders $k = 0,\;1,\; \ldots ,\;n$.

Usage

polynomial.derivatives(polynomials)

Arguments

polynomials

list of polynomial objects

Value

• List of $n + 1$ polynomial objects
• 1
  derivative of polynomials[[1]]
• 2
  derivative of polynomials[[2]]
• ...
• n+1
  derivative of polynomials[[n+1]]

Details

The polynomial objects in the argument polynomials are as follows

• 1

{order 0 polynomial} 2{order 1 polynomial} ... n+1{order $n$ polynomial}

Examples

###
### generate a list of normalized T Chebyshev polynomials of
### orders 0 to 10
###
p.list <- chebyshev.t.polynomials( 10, normalized=TRUE )
###
### generate the corresponding list of polynomial derivatives
###
p.deriv <- polynomial.derivatives( p.list )