# Collection of functions for orthogonal and orthonormal polynomials

## Documentation for package ‘orthopolynom’ version 1.0-5

- DESCRIPTION file.

## 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