Fungrim entry: f1d31a

\Gamma\!\left(n\right) = \left(n - 1\right)!

Assumptions:

n \in \mathbb{C} \setminus \{0, -1, \ldots\}

TeX:

\Gamma\!\left(n\right) = \left(n - 1\right)!

n \in \mathbb{C} \setminus \{0, -1, \ldots\}

Definitions:

Fungrim symbol	Notation	Short description
`GammaFunction`	$\Gamma\!\left(z\right)$	Gamma function
`Factorial`	$n !$	Factorial
`CC`	$\mathbb{C}$	Complex numbers
`ZZLessEqual`	$\mathbb{Z}_{\le n}$	Integers less than or equal to n

Source code for this entry:

Entry(ID("f1d31a"),
    Formula(Equal(GammaFunction(n), Factorial(Sub(n, 1)))),
    Variables(n),
    Assumptions(Element(n, SetMinus(CC, ZZLessEqual(0)))))

Topics using this entry

Gamma function

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC