Image: Wikimedia Commons

rational function

Ratio of polynomial functions

Entitytype of mathematical functionQ41237

Instance of: type of mathematical function
Subclass of: algebraic function
, element
, meromorphic function

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field K. In this case, one speaks of a rational function and a rational fraction over K. The values of the variables may be taken in any field L containing K. Then the domain of the function is the set of the values of the variables for which the denominator is not zero, and the codomain is L.

Overview

All data

22 statements · 18% with external sources · numbers in brackets are citations

Studied by: mathematical analysis
algebraic geometry
Different from: rational fraction

On other databases

16 identifiers linking rational function across the web's reference databases

Data quality

statements

18%

externally sourced

Source last edited September 17, 2026. AIDB refreshes this page daily.

Suggest a fact or correction

Links

Use this data

curl https://aidb.si/api/v1/entities/Q41237

API docs, limits & keys

Cite this page

AIDB. (2026). rational function (Q41237). Retrieved from https://aidb.si/e/rational-function-Q41237