Collection of Functions for Orthogonal and Orthonormal
Polynomials
![[R logo]](../../../doc/html/Rlogo.svg)
![[Up]](../../../doc/html/left.jpg)
![[Top]](../../../doc/html/up.jpg)
Documentation for package ‘orthopolynom’ version 1.0-6.1
Help 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.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 |
| 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 |
| 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 parameters |
| 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 |