The degree of a polynomial function is the highest power of the variable in its expression. The degree dictates the maximum ...

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 ...

Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...

We address a more general version of a classic question in probability theory. Suppose X ∼ ${\bf N}_{{\bf p}}(\mu,\Sigma)$ (μ, Σ). What functions of X also have ...

We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

Let's explore some common problem types found in Math 1314 Lab Module 4 and develop step-by-step solutions: Problem: Given the polynomial function f (x) = x^3 - 3x^2 - x + 3, find the zeros, determine ...

A polynomial is a chain of algebraic terms with various values of powers. There are some words and phrases to look out for when you're dealing with polynomials: \(6{x^5} - 3{x^2} + 7\) is a polynomial ...