orthopolynom v1.0-5

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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.

Functions in orthopolynom

Name Description
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
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Details

Date 2013-02-03
License GPL (>= 2)
Packaged 2013-02-03 21:14:14 UTC; fred
Repository CRAN
Date/Publication 2013-02-04 07:42:24

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