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Fungrim entry: 355c22

(k)k‾=k!\left(k\right)^{\underline{k}} = k !
Assumptions:k∈Z≥0k \in \mathbb{Z}_{\ge 0}
TeX:
\left(k\right)^{\underline{k}} = k !

k \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol Notation Short description
FallingFactorial(z)k‾\left(z\right)^{\underline{k}} Falling factorial
Factorialn!n ! Factorial
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("355c22"),
    Formula(Equal(FallingFactorial(k, k), Factorial(k))),
    Variables(k),
    Assumptions(Element(k, ZZGreaterEqual(0))))

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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