entire function

Complex-valued function that is holomorphic at all finite points over the whole complex plane

EntityQ847600

Also known as integral function

Subclass of: complex function
, holomorphic function

Overview

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

In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane. Typical examples of entire functions are polynomials and the exponential function, and any finite sums, products and compositions of these, such as the trigonometric functions, as well as derivatives and antiderivatives of entire functions. Entire functions correspond exactly to Taylor series converging on the whole complex plane.

Overview

All data

24 statements · 33% with external sources · numbers in brackets are citations

Defining formula: f(z)=\sum_{n=0}^\infty a_nz^n
Different from: partial function

On other databases

21 identifiers linking entire function across the web's reference databases

Data quality

statements

33%

externally sourced

Source last edited July 10, 2026. AIDB refreshes this page daily.

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AIDB. (2026). entire function (Q847600). Retrieved from https://aidb.si/e/entire-function-Q847600