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 ...

Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

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.

The conditional variance function in a heteroscedastic, nonparametric regression model is estimated by linear smoothing of squared residuals. Attention is focused on local polynomial smoothers.

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have ...

Understanding Concepts of Polynomial Equations: find the topic and its importance and types. Download or read complete content here.