Homogeneous Polynomial

A homogeneous polynomial is a polynomial whose nonzero monomials have the same total degree. For example, is a homogeneous polynomial of total degree 3.

Homogeneous polynomials also approximate functions on convex boundaries, as in the Kroó homogeneous polynomial approximation conjecture.

See also

Artin-Davenport Conjecture, Complete Homogeneous Symmetric Polynomial, Cubic Form, Hyperbolic Polynomial, Polynomial, Polynomial Form, Symmetric Polynomial, Weighted Homogeneous Polynomial

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Weisstein, Eric W. "Homogeneous Polynomial." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HomogeneousPolynomial.html

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