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Fungrim entry: 3c2469

Symbol: FallingFactorial (z)k\left(z\right)^{\underline{k}} Falling factorial
Domain Codomain
zCandkZ0z \in \mathbb{C} \,\mathbin{\operatorname{and}}\, k \in \mathbb{Z}_{\ge 0} (z)kC\left(z\right)^{\underline{k}} \in \mathbb{C}
Table data: (P,Q)\left(P, Q\right) such that (P)    (Q)\left(P\right) \implies \left(Q\right)
Definitions:
Fungrim symbol Notation Short description
FallingFactorial(z)k\left(z\right)^{\underline{k}} Falling factorial
CCC\mathbb{C} Complex numbers
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("3c2469"),
    SymbolDefinition(FallingFactorial, FallingFactorial(z, k), "Falling factorial"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(And(Element(z, CC), Element(k, ZZGreaterEqual(0))), Element(FallingFactorial(z, k), CC)))))

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

2019-08-21 11:44:15.926409 UTC