# 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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## Last month downloads

## 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 |

depends | base (>= 2.0.1) , polynom , R (>= 2.0.1) |

Contributors | Frederick Novomestky |

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