Rational Function

A quotient of two polynomials $P(z)$ and $Q(z)$,

$$R(z)\equiv {P(z)\over Q(z)},$$

is called a rational function. More generally, if $P$ and $Q$ are Polynomials in multiple variables, their quotient is a rational function.

See also Abel's Curve Theorem, Closed Form, Fundamental Theorem of Symmetric Functions, Quotient-Difference Algorithm, Rational Integer, Rational Number, Riemann Curve Theorem