📂Functions

Definition of a Rational Function

Definition ¹

For any two polynomial functions $P_{1}(z), P_{2}(z) : \mathbb{C} \to \mathbb{C}$, the following function $Q$ that maps every $z \in \mathbb{C}$ for which $P_{2} (z) \ne 0$ into $\left( P_{1} / P_{2} \right) (z)$ is called a Rational Function or an Algebraic Fraction. $$ Q (z) := {{ P_{1} (z) } \over { P_{2} (z) }} \qquad \text{where } P_{2} (z) \ne 0 $$