Falling and rising factorials
id:
falling-and-rising-factorials-170-11770100
title:
Falling and rising factorials
text:
In mathematics, the falling factorial is defined as the polynomial n = x n _ = x ⋯ ⏞ n factors = ∏ k = 1 n = ∏ k = 0 n − 1. The rising factorial is defined as n = x n ¯ = x ⋯ ⏞ n factors = ∏ k = 1 n = ∏ k = 0 n − 1. The value of each is taken to be 1 when n = 0. These symbols are collectively called factorial powers. The Pochhammer symbol, introduced by Leo August Pochhammer, is the notation n, where n is a non-negative integer. It may represent either the rising or the falling factorial, with
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical functions
original url:
https://en.wikipedia.org/wiki/Falling_and_rising_factorials
date created:
2003-05-19T23:08:41Z
date modified:
2024-09-01T00:11:09Z
main entity:
{"identifier":"Q2339261","url":"https://www.wikidata.org/entity/Q2339261"}
image:
fields total:
13
integrity:
15