polynomial.integrals: Create list of polynomial integrals

In orthopolynom: Collection of Functions for Orthogonal and Orthonormal Polynomials

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,\; … ,\;n.

Usage

polynomial.integrals(polynomials)

Arguments

polynomials

list of polynomial objects

Details

The polynomial objects in the argument polynomials are as follows

• 1order 0 polynomial

• 2order 1 polynomial ...

• n+1order n polynomial

Value

List of n + 1 polynomial objects

1	integral of polynomials[[1]]
2	integral of polynomials[[2]]

...

n+1	integral of polynomials[[n+1]]

Author(s)

Frederick Novomestky [e-mail]

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 )

orthopolynom documentation built on Oct. 3, 2022, 5:08 p.m.