Fungrim entry: 78f1f4

\Gamma\!\left(z + 1\right) = z \Gamma(z)

Assumptions:

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

TeX:

\Gamma\!\left(z + 1\right) = z \Gamma(z)

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

Definitions:

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

Source code for this entry:

Entry(ID("78f1f4"),
    Formula(Equal(Gamma(Add(z, 1)), Mul(z, Gamma(z)))),
    Variables(z),
    Assumptions(Element(z, 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.

2021-03-15 19:12:00.328586 UTC