Polynomials

Characteristic and minimal polynomials, coefficients of polynomials

Find orthogonal polynomials, such as the Legendre and Jacobi polynomials. Calculate the roots, coefficients, or vector form of a polynomial.

Functions

Polynomial Operations

`coeffs`	Coefficients of polynomial
`gbasis`	Reduced Groebner basis
`poly2sym`	Create symbolic polynomial from vector of coefficients
`polynomialDegree`	Degree of polynomial
`polynomialReduce`	Reduce polynomials by division
`resultant`	Resultant of two polynomials
`root`	Represent roots of polynomial
`sym2poly`	Extract vector of all numeric coefficients, including zeros, from symbolic polynomial

Characterize Matrices

`charpoly`	Characteristic polynomial of matrix
`minpoly`	Minimal polynomial of matrix

Special Polynomials

`bernstein`	Bernstein polynomials
`chebyshevT`	Chebyshev polynomials of the first kind
`chebyshevU`	Chebyshev polynomials of the second kind
`gegenbauerC`	Gegenbauer polynomials
`hermiteH`	Hermite polynomials
`jacobiP`	Jacobi polynomials
`laguerreL`	Generalized Laguerre Function and Laguerre Polynomials
`legendreP`	Legendre polynomials