Collection of Functions for Orthogonal and Orthonormal Polynomials
Create list of Jacobi polynomials
Recurrence relations for Jacobi polynomials
Create list of ultraspherical polynomials
Recurrence relations for ultraspherical polynomials
Weight function for the ultraspherical polynomial
Create list of Jacobi matrices from monic recurrence parameters
Weight function for the Hermite polynomial
Inner products of Hermite polynomials
Inner products of Jacobi polynomials
Create list of Hermite polynomials
Inner products of Chebyshev polynomials
Create list of Chebyshev polynomials
Recurrence relations for Chebyshev polynomials
Weight function for the Chebyshev polynomial
Inner products of Chebyshev polynomials
Create list of Chebyshev polynomials
Recurrence relations for Chebyshev polynomials
Weight function for the Chebyshev polynomial
Inner products of Chebyshev polynomials
Create list of Chebyshev polynomials
Recurrence relations for Chebyshev polynomials
Weight function for the Chebyshev polynomial
Inner products of Chebyshev polynomials
Create list of Chebyshev polynomials
Recurrence relations for Chebyshev polynomials
Weight function for the Chebyshev polynomial
Inner products of Gegenbauer polynomials
Create list of Gegenbauer polynomials
Recurrence relations for Gegenbauer polynomials
Weight function for the Gegenbauer polynomial
Inner products of generalized Hermite polynomials
Create list of generalized Hermite polynomials
Recurrence relations for generalized Hermite polynomials
Weight function for the generalized Hermite polynomial
Inner products of generalized Laguerre polynomials
Create list of generalized Laguerre polynomials
Recurrence relations for generalized Laguerre polynomials
Weight function for the generalized Laguerre polynomial
Inner products of Hermite polynomials
Create list of Hermite polynomials
Recurrence relations for Hermite polynomials
Recurrence relations for Hermite polynomials
Weight function for the Hermite polynomial
Inner products of Jacobi polynomials
Create list of Jacobi polynomials
Recurrence relations for Jacobi polynomials
Weight function for the Jacobi polynomial
Weight function for the Jacobi polynomial
Inner products of Laguerre polynomials
Create list of Laguerre polynomials
Recurrence relations for Laguerre polynomials
Weight function for the Laguerre polynomial
Inner products of Legendre polynomials
Create list of Legendre polynomials
Recurrence relations for Legendre polynomials
Weight function for the Legendre polynomial
Calculate the logarithm of Pochhammer's symbol
Create data frame of monic recurrences
Create list of monic orthogonal polynomials
Create orthogonal polynomials
Create orthonormal polynomials
Calculate the value of Pochhammer's symbol
Create list of polynomial coefficient vectors
Create list of polynomial derivatives
Coerce polynomials to functions
Create list of polynomial integrals
Create vector of polynomial orders
Create a list of polynomial linear combinations
Create a list of polynomial roots
Create vector of polynomial values
Scale values from [a,b] to [u.v]
Inner products of shifted Chebyshev polynomials
Create list of shifted Chebyshev polynomials
Recurrence relations for shifted Chebyshev polynomials
Weight function for the shifted Chebyshev polynomial
Inner products of shifted Chebyshev polynomials
Create list of shifted Chebyshev polynomials
Recurrence relations for shifted Chebyshev polynomials
Weight function for the shifted Chebyshev polynomial
Inner products of shifted Legendre polynomials
Create list of shifted Legendre polynomials
Recurrence relations for shifted Legendre polynomials
Weight function for the shifted Legendre polynomial
Inner products of spherical polynomials
Create list of spherical polynomials
Recurrence relations for spherical polynomials
Weight function for the spherical polynomial
Inner products of ultraspherical 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.