orthopolynom: Collection of functions for orthogonal and orthonormal polynomials
Version 1.0-5

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.

AuthorFrederick Novomestky <fnovomes@poly.edu>
Date of publication2013-02-04 07:42:24
MaintainerFrederick Novomestky <fnovomes@poly.edu>
LicenseGPL (>= 2)
Version1.0-5
Package repositoryView on CRAN
InstallationInstall the latest version of this package by entering the following in R:
install.packages("orthopolynom")

Popular man pages

chebyshev.u.inner.products: Inner products of Chebyshev polynomials
jacobi.g.inner.products: Inner products of Jacobi polynomials
jacobi.g.recurrences: Recurrence relations for Jacobi polynomials
legendre.inner.products: Inner products of Legendre polynomials
schebyshev.t.inner.products: Inner products of shifted Chebyshev polynomials
slegendre.polynomials: Create list of shifted Legendre polynomials
slegendre.weight: Weight function for the shifted Legendre polynomial
See all...

All man pages Function index File listing

Man pages

chebyshev.c.inner.products: Inner products of Chebyshev polynomials
chebyshev.c.polynomials: Create list of Chebyshev polynomials
chebyshev.c.recurrences: Recurrence relations for Chebyshev polynomials
chebyshev.c.weight: Weight function for the Chebyshev polynomial
chebyshev.s.inner.products: Inner products of Chebyshev polynomials
chebyshev.s.polynomials: Create list of Chebyshev polynomials
chebyshev.s.recurrences: Recurrence relations for Chebyshev polynomials
chebyshev.s.weight: Weight function for the Chebyshev polynomial
chebyshev.t.inner.products: Inner products of Chebyshev polynomials
chebyshev.t.polynomials: Create list of Chebyshev polynomials
chebyshev.t.recurrences: Recurrence relations for Chebyshev polynomials
chebyshev.t.weight: Weight function for the Chebyshev polynomial
chebyshev.u.inner.products: Inner products of Chebyshev polynomials
chebyshev.u.polynomials: Create list of Chebyshev polynomials
chebyshev.u.recurrences: Recurrence relations for Chebyshev polynomials
chebyshev.u.weight: Weight function for the Chebyshev polynomial
gegenbauer.inner.products: Inner products of Gegenbauer polynomials
gegenbauer.polynomials: Create list of Gegenbauer polynomials
gegenbauer.recurrences: Recurrence relations for Gegenbauer polynomials
gegenbauer.weight: Weight function for the Gegenbauer polynomial
ghermite.h.inner.products: Inner products of generalized Hermite polynomials
ghermite.h.polynomials: Create list of generalized Hermite polynomials
ghermite.h.recurrences: Recurrence relations for generalized Hermite polynomials
ghermite.h.weight: Weight function for the generalized Hermite polynomial
glaguerre.inner.products: Inner products of generalized Laguerre polynomials
glaguerre.polynomials: Create list of generalized Laguerre polynomials
glaguerre.recurrences: Recurrence relations for generalized Laguerre polynomials
glaguerre.weight: Weight function for the generalized Laguerre polynomial
hermite.he.inner.products: Inner products of Hermite polynomials
hermite.he.polynomials: Create list of Hermite polynomials
hermite.he.recurrences: Recurrence relations for Hermite polynomials
hermite.he.weight: Weight function for the Hermite polynomial
hermite.h.inner.products: Inner products of Hermite polynomials
hermite.h.polynomials: Create list of Hermite polynomials
hermite.h.recurrences: Recurrence relations for Hermite polynomials
hermite.h.weight: Weight function for the Hermite polynomial
jacobi.g.inner.products: Inner products of Jacobi polynomials
jacobi.g.polynomials: Create list of Jacobi polynomials
jacobi.g.recurrences: Recurrence relations for Jacobi polynomials
jacobi.g.weight: Weight function for the Jacobi polynomial
jacobi.matrices: Create list of Jacobi matrices from monic recurrence...
jacobi.p.inner.products: Inner products of Jacobi polynomials
jacobi.p.polynomials: Create list of Jacobi polynomials
jacobi.p.recurrences: Recurrence relations for Jacobi polynomials
jacobi.p.weight: Weight function for the Jacobi polynomial
laguerre.inner.products: Inner products of Laguerre polynomials
laguerre.polynomials: Create list of Laguerre polynomials
laguerre.recurrences: Recurrence relations for Laguerre polynomials
laguerre.weight: Weight function for the Laguerre polynomial
legendre.inner.products: Inner products of Legendre polynomials
legendre.polynomials: Create list of Legendre polynomials
legendre.recurrences: Recurrence relations for Legendre polynomials
legendre.weight: Weight function for the Legendre polynomial
lpochhammer: Calculate the logarithm of Pochhammer's symbol
monic.polynomial.recurrences: Create data frame of monic recurrences
monic.polynomials: Create list of monic orthogonal polynomials
orthogonal.polynomials: Create orthogonal polynomials
orthonormal.polynomials: Create orthonormal polynomials
pochhammer: Calculate the value of Pochhammer's symbol
polynomial.coefficients: Create list of polynomial coefficient vectors
polynomial.derivatives: Create list of polynomial derivatives
polynomial.functions: Coerce polynomials to functions
polynomial.integrals: Create list of polynomial integrals
polynomial.orders: Create vector of polynomial orders
polynomial.powers: Create a list of polynomial linear combinations
polynomial.roots: Create a list of polynomial roots
polynomial.values: Create vector of polynomial values
scaleX: Scale values from [a,b] to [u.v]
schebyshev.t.inner.products: Inner products of shifted Chebyshev polynomials
schebyshev.t.polynomials: Create list of shifted Chebyshev polynomials
schebyshev.t.recurrences: Recurrence relations for shifted Chebyshev polynomials
schebyshev.t.weight: Weight function for the shifted Chebyshev polynomial
schebyshev.u.inner.products: Inner products of shifted Chebyshev polynomials
schebyshev.u.polynomials: Create list of shifted Chebyshev polynomials
schebyshev.u.recurrences: Recurrence relations for shifted Chebyshev polynomials
schebyshev.u.weight: Weight function for the shifted Chebyshev polynomial
slegendre.inner.products: Inner products of shifted Legendre polynomials
slegendre.polynomials: Create list of shifted Legendre polynomials
slegendre.recurrences: Recurrence relations for shifted Legendre polynomials
slegendre.weight: Weight function for the shifted Legendre polynomial
spherical.inner.products: Inner products of spherical polynomials
spherical.polynomials: Create list of spherical polynomials
spherical.recurrences: Recurrence relations for spherical polynomials
spherical.weight: Weight function for the spherical polynomial
ultraspherical.inner.products: Inner products of ultraspherical polynomials
ultraspherical.polynomials: Create list of ultraspherical polynomials
ultraspherical.recurrences: Recurrence relations for ultraspherical polynomials
ultraspherical.weight: Weight function for the ultraspherical polynomial

Functions

chebyshev.c.inner.products Man page Source code
chebyshev.c.polynomials Man page Source code
chebyshev.c.recurrences Man page Source code
chebyshev.c.weight Man page Source code
chebyshev.s.inner.products Man page Source code
chebyshev.s.polynomials Man page Source code
chebyshev.s.recurrences Man page Source code
chebyshev.s.weight Man page Source code
chebyshev.t.inner.products Man page Source code
chebyshev.t.polynomials Man page Source code
chebyshev.t.recurrences Man page Source code
chebyshev.t.weight Man page Source code
chebyshev.u.inner.products Man page Source code
chebyshev.u.polynomials Man page Source code
chebyshev.u.recurrences Man page Source code
chebyshev.u.weight Man page Source code
gegenbauer.inner.products Man page Source code
gegenbauer.polynomials Man page Source code
gegenbauer.recurrences Man page Source code
gegenbauer.weight Man page Source code
ghermite.h.inner.products Man page Source code
ghermite.h.polynomials Man page Source code
ghermite.h.recurrences Man page Source code
ghermite.h.weight Man page Source code
glaguerre.inner.products Man page Source code
glaguerre.polynomials Man page Source code
glaguerre.recurrences Man page Source code
glaguerre.weight Man page Source code
hermite.h.inner.products Man page Source code
hermite.h.polynomials Man page Source code
hermite.h.recurrences Man page Source code
hermite.h.weight Man page Source code
hermite.he.inner.products Man page Source code
hermite.he.polynomials Man page Source code
hermite.he.recurrences Man page Source code
hermite.he.weight Man page Source code
jacobi.g.inner.products Man page Source code
jacobi.g.polynomials Man page Source code
jacobi.g.recurrences Man page Source code
jacobi.g.weight Man page Source code
jacobi.matrices Man page Source code
jacobi.p.inner.products Man page Source code
jacobi.p.polynomials Man page Source code
jacobi.p.recurrences Man page Source code
jacobi.p.weight Man page Source code
laguerre.inner.products Man page Source code
laguerre.polynomials Man page Source code
laguerre.recurrences Man page Source code
laguerre.weight Man page Source code
legendre.inner.products Man page Source code
legendre.polynomials Man page Source code
legendre.recurrences Man page Source code
legendre.weight Man page Source code
lpochhammer Man page Source code
monic.polynomial.recurrences Man page Source code
monic.polynomials Man page Source code
orthogonal.polynomials Man page Source code
orthonormal.polynomials Man page Source code
pochhammer Man page Source code
polynomial.coefficients Man page Source code
polynomial.derivatives Man page Source code
polynomial.functions Man page Source code
polynomial.integrals Man page Source code
polynomial.orders Man page Source code
polynomial.powers Man page Source code
polynomial.roots Man page Source code
polynomial.values Man page Source code
scaleX Man page Source code
schebyshev.t.inner.products Man page Source code
schebyshev.t.polynomials Man page Source code
schebyshev.t.recurrences Man page Source code
schebyshev.t.weight Man page Source code
schebyshev.u.inner.products Man page Source code
schebyshev.u.polynomials Man page Source code
schebyshev.u.recurrences Man page Source code
schebyshev.u.weight Man page Source code
slegendre.inner.products Man page Source code
slegendre.polynomials Man page Source code
slegendre.recurrences Man page Source code
slegendre.weight Man page Source code
spherical.inner.products Man page Source code
spherical.polynomials Man page Source code
spherical.recurrences Man page Source code
spherical.weight Man page Source code
ultraspherical.inner.products Man page Source code
ultraspherical.polynomials Man page Source code
ultraspherical.recurrences Man page Source code
ultraspherical.weight Man page Source code

Files

MD5
R
R/ultraspherical.weight.R
R/ultraspherical.recurrences.R
R/ultraspherical.polynomials.R
R/ultraspherical.inner.products.R
R/spherical.weight.R
R/spherical.recurrences.R
R/spherical.polynomials.R
R/spherical.inner.products.R
R/slegendre.weight.R
R/slegendre.recurrences.R
R/slegendre.polynomials.R
R/slegendre.inner.products.R
R/schebyshev.u.weight.R
R/schebyshev.u.recurrences.R
R/schebyshev.u.polynomials.R
R/schebyshev.u.inner.products.R
R/schebyshev.t.weight.R
R/schebyshev.t.recurrences.R
R/schebyshev.t.polynomials.R
R/schebyshev.t.inner.products.R
R/scaleX.R
R/polynomial.values.R
R/polynomial.roots.R
R/polynomial.powers.R
R/polynomial.orders.R
R/polynomial.integrals.R
R/polynomial.functions.R
R/polynomial.derivatives.R
R/polynomial.coefficients.R
R/pochhammer.R
R/orthonormal.polynomials.R
R/orthogonal.polynomials.R
R/monic.polynomials.R
R/monic.polynomial.recurrences.R
R/lpochhammer.R
R/legendre.weight.R
R/legendre.recurrences.R
R/legendre.polynomials.R
R/legendre.inner.products.R
R/laguerre.weight.R
R/laguerre.recurrences.R
R/laguerre.polynomials.R
R/laguerre.inner.products.R
R/jacobi.p.weight.R
R/jacobi.p.recurrences.R
R/jacobi.p.polynomials.R
R/jacobi.p.inner.products.R
R/jacobi.matrices.R
R/jacobi.g.weight.R
R/jacobi.g.recurrences.R
R/jacobi.g.polynomials.R
R/jacobi.g.inner.products.R
R/hermite.he.weight.R
R/hermite.he.recurrences.R
R/hermite.he.polynomials.R
R/hermite.he.inner.products.R
R/hermite.h.weight.R
R/hermite.h.recurrences.R
R/hermite.h.polynomials.R
R/hermite.h.inner.products.R
R/glaguerre.weight.R
R/glaguerre.recurrences.R
R/glaguerre.polynomials.R
R/glaguerre.inner.products.R
R/ghermite.h.weight.R
R/ghermite.h.recurrences.R
R/ghermite.h.polynomials.R
R/ghermite.h.inner.products.R
R/gegenbauer.weight.R
R/gegenbauer.recurrences.R
R/gegenbauer.polynomials.R
R/gegenbauer.inner.products.R
R/chebyshev.u.weight.R
R/chebyshev.u.recurrences.R
R/chebyshev.u.polynomials.R
R/chebyshev.u.inner.products.R
R/chebyshev.t.weight.R
R/chebyshev.t.recurrences.R
R/chebyshev.t.polynomials.R
R/chebyshev.t.inner.products.R
R/chebyshev.s.weight.R
R/chebyshev.s.recurrences.R
R/chebyshev.s.polynomials.R
R/chebyshev.s.inner.products.R
R/chebyshev.c.weight.R
R/chebyshev.c.recurrences.R
R/chebyshev.c.polynomials.R
R/chebyshev.c.inner.products.R
NAMESPACE
man
man/ultraspherical.weight.Rd
man/ultraspherical.recurrences.Rd
man/ultraspherical.polynomials.Rd
man/ultraspherical.inner.products.Rd
man/spherical.weight.Rd
man/spherical.recurrences.Rd
man/spherical.polynomials.Rd
man/spherical.inner.products.Rd
man/slegendre.weight.Rd
man/slegendre.recurrences.Rd
man/slegendre.polynomials.Rd
man/slegendre.inner.products.Rd
man/schebyshev.u.weight.Rd
man/schebyshev.u.recurrences.Rd
man/schebyshev.u.polynomials.Rd
man/schebyshev.u.inner.products.Rd
man/schebyshev.t.weight.Rd
man/schebyshev.t.recurrences.Rd
man/schebyshev.t.polynomials.Rd
man/schebyshev.t.inner.products.Rd
man/scaleX.Rd
man/polynomial.values.Rd
man/polynomial.roots.Rd
man/polynomial.powers.Rd
man/polynomial.orders.Rd
man/polynomial.integrals.Rd
man/polynomial.functions.Rd
man/polynomial.derivatives.Rd
man/polynomial.coefficients.Rd
man/pochhammer.Rd
man/orthonormal.polynomials.Rd
man/orthogonal.polynomials.Rd
man/monic.polynomials.Rd
man/monic.polynomial.recurrences.Rd
man/lpochhammer.Rd
man/legendre.weight.Rd
man/legendre.recurrences.Rd
man/legendre.polynomials.Rd
man/legendre.inner.products.Rd
man/laguerre.weight.Rd
man/laguerre.recurrences.Rd
man/laguerre.polynomials.Rd
man/laguerre.inner.products.Rd
man/jacobi.p.weight.Rd
man/jacobi.p.recurrences.Rd
man/jacobi.p.polynomials.Rd
man/jacobi.p.inner.products.Rd
man/jacobi.matrices.Rd
man/jacobi.g.weight.Rd
man/jacobi.g.recurrences.Rd
man/jacobi.g.polynomials.Rd
man/jacobi.g.inner.products.Rd
man/hermite.he.weight.Rd
man/hermite.he.recurrences.Rd
man/hermite.he.polynomials.Rd
man/hermite.he.inner.products.Rd
man/hermite.h.weight.Rd
man/hermite.h.recurrences.Rd
man/hermite.h.polynomials.Rd
man/hermite.h.inner.products.Rd
man/glaguerre.weight.Rd
man/glaguerre.recurrences.Rd
man/glaguerre.polynomials.Rd
man/glaguerre.inner.products.Rd
man/ghermite.h.weight.Rd
man/ghermite.h.recurrences.Rd
man/ghermite.h.polynomials.Rd
man/ghermite.h.inner.products.Rd
man/gegenbauer.weight.Rd
man/gegenbauer.recurrences.Rd
man/gegenbauer.polynomials.Rd
man/gegenbauer.inner.products.Rd
man/chebyshev.u.weight.Rd
man/chebyshev.u.recurrences.Rd
man/chebyshev.u.polynomials.Rd
man/chebyshev.u.inner.products.Rd
man/chebyshev.t.weight.Rd
man/chebyshev.t.recurrences.Rd
man/chebyshev.t.polynomials.Rd
man/chebyshev.t.inner.products.Rd
man/chebyshev.s.weight.Rd
man/chebyshev.s.recurrences.Rd
man/chebyshev.s.polynomials.Rd
man/chebyshev.s.inner.products.Rd
man/chebyshev.c.weight.Rd
man/chebyshev.c.recurrences.Rd
man/chebyshev.c.polynomials.Rd
man/chebyshev.c.inner.products.Rd
DESCRIPTION
orthopolynom documentation built on May 19, 2017, 2:08 p.m.

Questions? Problems? Suggestions? Tweet to @rdrrHQ or email at ian@mutexlabs.com.

Please suggest features or report bugs in the GitHub issue tracker.

All documentation is copyright its authors; we didn't write any of that.