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gamma function

File:Gamma_plot.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ190573· pop 68· linked from 406 articles

gamma function

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Also known as complete gamma function, Euler integral of the second kind

extension of the factorial function, with its argument shifted down by 1, to real and complex numbers

AI overview

The gamma function is a mathematical tool that extends the concept of factorials (like 5! = 5 × 4 × 3 × 2 × 1) to work with any real or complex number, not just whole numbers. It matters because it appears throughout science and engineering in calculations involving probability, statistics, physics, and other fields where understanding how quantities change across continuous ranges is important.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Instance of
special function
Image
ComplexGamma3Dlog.PNG
Show 8 more facts
Commons category
Gamma and related functions
Stack Exchange tag
stackoverflow.com/tags/gamma-function
discoverer or inventor
Leonhard Euler
topic's main category
Category:Gamma and related functions
different from
factorial
on focus list of Wikimedia project
Wikipedia:Vital articles/Level/4
maintained by WikiProject
WikiProject Mathematics
mathematical inverse
reciprocal gamma function
Sources (6)

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Encyclopedic overview

In mathematics, the gamma function (represented by ⁠

Γ

Excerpted from Wikipedia’s “gamma function” article, available under the CC BY-SA 4.0 licence.

Gallery (12)

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