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orthopolynom (version 1.0-5)

Collection of functions for orthogonal and orthonormal polynomials

Description

A collection of functions to construct sets of orthogonal polynomials and their recurrence relations. Additional functions are provided to calculate the derivative, integral, value and roots of lists of polynomial objects.

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Version

Install

install.packages('orthopolynom')

Monthly Downloads

3,368

Version

1.0-5

License

GPL (>= 2)

Maintainer

Frederick Novomestky

Last Published

February 4th, 2013

Functions in orthopolynom (1.0-5)

chebyshev.c.inner.products

Inner products of Chebyshev polynomials
glaguerre.polynomials

Create list of generalized Laguerre polynomials
chebyshev.c.polynomials

Create list of Chebyshev polynomials
chebyshev.s.polynomials

Create list of Chebyshev polynomials
ghermite.h.recurrences

Recurrence relations for generalized Hermite polynomials
gegenbauer.weight

Weight function for the Gegenbauer polynomial
hermite.h.inner.products

Inner products of Hermite polynomials
laguerre.inner.products

Inner products of Laguerre polynomials
pochhammer

Calculate the value of Pochhammer's symbol
ghermite.h.inner.products

Inner products of generalized Hermite polynomials
chebyshev.s.weight

Weight function for the Chebyshev polynomial
scaleX

Scale values from [a,b] to [u.v]
hermite.he.weight

Weight function for the Hermite polynomial
ghermite.h.weight

Weight function for the generalized Hermite polynomial
chebyshev.u.recurrences

Recurrence relations for Chebyshev polynomials
slegendre.weight

Weight function for the shifted Legendre polynomial
hermite.h.recurrences

Recurrence relations for Hermite polynomials
jacobi.g.recurrences

Recurrence relations for Jacobi polynomials
ultraspherical.weight

Weight function for the ultraspherical polynomial
legendre.recurrences

Recurrence relations for Legendre polynomials
polynomial.roots

Create a list of polynomial roots
chebyshev.u.weight

Weight function for the Chebyshev polynomial
ultraspherical.polynomials

Create list of ultraspherical polynomials
slegendre.inner.products

Inner products of shifted Legendre polynomials
glaguerre.weight

Weight function for the generalized Laguerre polynomial
chebyshev.c.weight

Weight function for the Chebyshev polynomial
jacobi.p.weight

Weight function for the Jacobi polynomial
ultraspherical.inner.products

Inner products of ultraspherical polynomials
jacobi.p.polynomials

Create list of Jacobi polynomials
jacobi.p.recurrences

Recurrence relations for Jacobi polynomials
polynomial.values

Create vector of polynomial values
schebyshev.t.inner.products

Inner products of shifted Chebyshev polynomials
ultraspherical.recurrences

Recurrence relations for ultraspherical polynomials
spherical.recurrences

Recurrence relations for spherical polynomials
gegenbauer.inner.products

Inner products of Gegenbauer polynomials
glaguerre.inner.products

Inner products of generalized Laguerre polynomials
chebyshev.t.weight

Weight function for the Chebyshev polynomial
hermite.he.recurrences

Recurrence relations for Hermite polynomials
hermite.h.weight

Weight function for the Hermite polynomial
hermite.he.inner.products

Inner products of Hermite polynomials
glaguerre.recurrences

Recurrence relations for generalized Laguerre polynomials
chebyshev.u.inner.products

Inner products of Chebyshev polynomials
orthonormal.polynomials

Create orthonormal polynomials
orthogonal.polynomials

Create orthogonal polynomials
chebyshev.c.recurrences

Recurrence relations for Chebyshev polynomials
polynomial.integrals

Create list of polynomial integrals
slegendre.recurrences

Recurrence relations for shifted Legendre polynomials
schebyshev.u.inner.products

Inner products of shifted Chebyshev polynomials
lpochhammer

Calculate the logarithm of Pochhammer's symbol
polynomial.functions

Coerce polynomials to functions
spherical.inner.products

Inner products of spherical polynomials
polynomial.derivatives

Create list of polynomial derivatives
schebyshev.u.polynomials

Create list of shifted Chebyshev polynomials
polynomial.orders

Create vector of polynomial orders
chebyshev.s.recurrences

Recurrence relations for Chebyshev polynomials
gegenbauer.recurrences

Recurrence relations for Gegenbauer polynomials
gegenbauer.polynomials

Create list of Gegenbauer polynomials
chebyshev.t.polynomials

Create list of Chebyshev polynomials
spherical.weight

Weight function for the spherical polynomial
chebyshev.t.recurrences

Recurrence relations for Chebyshev polynomials
hermite.he.polynomials

Create list of Hermite polynomials
laguerre.recurrences

Recurrence relations for Laguerre polynomials
monic.polynomials

Create list of monic orthogonal polynomials
schebyshev.t.weight

Weight function for the shifted Chebyshev polynomial
schebyshev.u.recurrences

Recurrence relations for shifted Chebyshev polynomials
polynomial.coefficients

Create list of polynomial coefficient vectors
spherical.polynomials

Create list of spherical polynomials
chebyshev.t.inner.products

Inner products of Chebyshev polynomials
ghermite.h.polynomials

Create list of generalized Hermite polynomials
chebyshev.u.polynomials

Create list of Chebyshev polynomials
hermite.h.polynomials

Create list of Hermite polynomials
jacobi.g.inner.products

Inner products of Jacobi polynomials
jacobi.matrices

Create list of Jacobi matrices from monic recurrence parameters
laguerre.polynomials

Create list of Laguerre polynomials
legendre.polynomials

Create list of Legendre polynomials
legendre.inner.products

Inner products of Legendre polynomials
jacobi.p.inner.products

Inner products of Jacobi polynomials
polynomial.powers

Create a list of polynomial linear combinations
schebyshev.t.recurrences

Recurrence relations for shifted Chebyshev polynomials
chebyshev.s.inner.products

Inner products of Chebyshev polynomials
laguerre.weight

Weight function for the Laguerre polynomial
monic.polynomial.recurrences

Create data frame of monic recurrences
slegendre.polynomials

Create list of shifted Legendre polynomials
jacobi.g.polynomials

Create list of Jacobi polynomials
schebyshev.t.polynomials

Create list of shifted Chebyshev polynomials
schebyshev.u.weight

Weight function for the shifted Chebyshev polynomial
jacobi.g.weight

Weight function for the Jacobi polynomial
legendre.weight

Weight function for the Legendre polynomial