octave_polynomial, an Octave code which analyzes a variety of polynomial families, returning the polynomial values, coefficients, derivatives, integrals, roots, or other information.
bernstein_polynomial, an Octave code which evaluates the Bernstein polynomials, useful for uniform approximation of functions;
change_polynomial, an Octave code which uses a polynomial multiplication algorithm to count the ways of making various sums using a given number of coins.
chebyshev_polynomial, an Octave code which considers the Chebyshev polynomials T(i,x), U(i,x), V(i,x) and W(i,x). Functions are provided to evaluate the polynomials, determine their zeros, produce their polynomial coefficients, produce related quadrature rules, project other functions onto these polynomial bases, and integrate double and triple products of the polynomials.
collatz_polynomial, an Octave code which implements the Collatz polynomial iteration, a polynomial analog of the numerical iteration that is also known as the 3n+1 conjecture or the hailstone sequence.
gegenbauer_polynomial, an Octave code which evaluates the Gegenbauer polynomial and associated functions.
gram_polynomial, an Octave code which evaluates the Gram polynomials, also known as the discrete Chebyshev polyomials, and associated functions.
hermite_polynomial, an Octave code which evaluates the physicist's Hermite polynomial, the probabilist's Hermite polynomial, the Hermite function, and related functions.
hermite_product_polynomial, an Octave code which defines Hermite product polynomials, creating a multivariate polynomial as the product of univariate Hermite polynomials.
jacobi_polynomial, an Octave code which evaluates the Jacobi polynomial and associated functions.
laguerre_polynomial, an Octave code which evaluates the Laguerre polynomial, the generalized Laguerre polynomial, and the Laguerre function.
legendre_polynomial, an Octave code which evaluates the Legendre polynomial and associated functions.
legendre_product_polynomial, an Octave code which defines Legendre product polynomials, creating a multivariate polynomial as the product of univariate Legendre polynomials.
legendre_shifted_polynomial, an Octave code which evaluates the shifted Legendre polynomial, with domain [0,1].
lobatto_polynomial, an Octave code which evaluates Lobatto polynomials, similar to legendre polynomials except that they are zero at both endpoints.