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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

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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 代表roots of polynomial
sym2poly Extract vector of all numeric coefficients, including zeros, from symbolic polynomial
charpoly Characteristic polynomial of matrix
minpoly Minimal polynomial of matrix
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