orthopolynom (version 1.0-3)

polynomial.coefficients: Create list of polynomial coefficient vectors

Description

This function returns a list with $n + 1$ elements containing the vector of coefficients of the order $k$ polynomials for orders $k = 0,\;1,\; \ldots ,\;n$. Each element in the list is a vector.

Usage

polynomial.coefficients(polynomials)

Arguments

polynomials

list of polynomial objects

Value

• A list of $n + 1$ polynomial objects where each element is a vector of coefficients.
• 1
  Coefficient(s) of the order 0 polynomial
• 2
  Coefficient(s) of the order 1 polynomial
• ...
• n+1
  Coefficient(s) of the 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 )
###
### obtain the list of coefficients for these polynomials
###
p.coef <- polynomial.coefficients( p.list )