Constructor

Variable

variable([dimensions, asarray, dtype, ...])	Construct variables that can be used to construct polynomials.
polynomial([poly_like, names, dtype, allocation])	Attempt to cast an object into a polynomial array.
aspolynomial(poly_like[, names, dtype])	Convert the input to an polynomial array.
symbols([names, asarray, dtype, allocation])	Construct symbol variables.
polynomial_from_attributes(exponents, ...[, ...])	Construct polynomial from polynomial attributes.
ndpoly.from_attributes(exponents, coefficients)	Construct polynomial from polynomial attributes.
polynomial_from_roots(seq_of_zeros[, dtype])	Find the coefficients of a polynomial with the given sequence of roots.

Expansion

monomial(start[, stop, dimensions, ...])	Create an polynomial monomial expansion.
expansion.lagrange(abscissas[, graded, ...])	Create Lagrange polynomial expansion.

Orthogonal

expansion.stieltjes(order, dist[, normed, ...])	Create orthogonal polynomial expansion from three terms recurrence formula.
expansion.cholesky(order, dist[, normed, ...])	Create orthogonal polynomial expansion from Cholesky decomposition.
expansion.gram_schmidt(order, dist[, ...])	Gram-Schmidt process for generating orthogonal polynomials.

Pre-defined orthogonal

expansion.chebyshev_1(order[, lower, upper, ...])	Chebyshev polynomials of the first kind.
expansion.chebyshev_2(order[, lower, upper, ...])	Chebyshev polynomials of the second kind.
expansion.gegenbauer(order, alpha[, lower, ...])	Gegenbauer polynomials.
expansion.hermite(order[, mu, sigma, ...])	Hermite orthogonal polynomial expansion.
expansion.jacobi(order, alpha, beta[, ...])	Jacobi polynomial expansion.
expansion.laguerre(order[, alpha, ...])	Examples:
expansion.legendre(order[, lower, upper, ...])	Examples: