Higher-degree polynomials give rise to more complicated figures. Third-degree polynomial functions with three variables, for example, produce smooth but twisty surfaces embedded in three dimensions.

This function is a polynomial in two dimensions, with terms up to degree 5. It is nonlinear, and it is smooth despite being complex, which is common for computer experiment functions (Lim et al., 2002 ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

Todd Dupont, Ridgway Scott, Polynomial Approximation of Functions in Sobolev Spaces, Mathematics of Computation, Vol. 34, No. 150 (Apr., 1980), pp. 441-463 ...

Polynomial Regression Consider a response variable Y that can be predicted by a polynomial function of a regressor variable X. You can estimate , the intercept, , the slope due to X, and , the slope ...