orthopolynom: Collection of functions for orthogonal and orthonormal polynomials

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

View on CRAN

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

Files in this package

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

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