algebraic function

Function that can be defined as the root of a polynomial equation

Entitytype of mathematical functionQ746863

Instance of: type of mathematical function
Subclass of: analytic function
, elementary function

Overview

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

In mathematics, an algebraic function is a function that satisfies a polynomial equation. Thus an equation of the following form holds: where the are polynomials. Basic examples of algebraic functions are polynomial functions, rational functions, the nth root function, and functions obtained from these by composition and algebraic operations. Thus an example of an algebraic function is the function , whose graph is the top half of the standard unit circle. This function satisfies . Algebraic functions are contrasted with transcendental functions, such as the exponential function, logarithm, and the trigonometric functions.

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20 statements · 30% with external sources · numbers in brackets are citations

Opposite of: transcendental function
Different from: algebraic function field

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17 identifiers linking algebraic function across the web's reference databases

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

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AIDB. (2026). algebraic function (Q746863). Retrieved from https://aidb.si/e/algebraic-function-Q746863