Q-gamma function
id:
q-gamma-function-305-8477158
title:
Q-gamma function
text:
In q-analog theory, the q -gamma function, or basic gamma function, is a generalization of the ordinary gamma function closely related to the double gamma function. It was introduced by Jackson (1905). It is given by when | q | < 1 , and if | q | > 1 . Here ∞ ;\cdot )_{\infty }} is the infinite q-Pochhammer symbol. The q -gamma function satisfies the functional equation In addition, the q -gamma function satisfies the q-analog of the Bohr–Mollerup theorem, which was found by Richard Askey.
For
brand slug:
wiki
category slug:
encyclopedia
description:
Function in q-analog theory
original url:
https://en.wikipedia.org/wiki/Q-gamma_function
date created:
date modified:
2024-01-04T02:47:42Z
main entity:
{"identifier":"Q7265303","url":"https://www.wikidata.org/entity/Q7265303"}
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fields total:
13
integrity:
14