orthopolynom (version 1.0-6.1)

polynomial.integrals: Create list of polynomial integrals

Description

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

Usage

polynomial.integrals(polynomials)

Value

List of \(n + 1\) polynomial objects

1

integral of polynomials[[1]]

2

integral of polynomials[[2]]

...

n+1

integral of polynomials[[n+1]]

Arguments

polynomials

list of polynomial objects

Author

Frederick Novomestky

Details

The polynomial objects in the argument polynomials are as follows

• 1order 0 polynomial

• 2order 1 polynomial ...

• n+1order 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 integrals
###
p.int <- polynomial.integrals( p.list )