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 | |
| No Results! | ||
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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 |
| depends | base (>= 2.0.1) , polynom , R (>= 2.0.1) |
| Contributors | Frederick Novomestky |
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