# 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!