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Fungrim entry: 579595

Symbol: RisingFactorial — (z)k\left(z\right)_{k} — Rising factorial
Domain Codomain
z∈C  and⁡  k∈Z≥0z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; k \in \mathbb{Z}_{\ge 0} (z)k∈C\left(z\right)_{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
RisingFactorial(z)k\left(z\right)_{k} Rising factorial
CCC\mathbb{C} Complex numbers
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("579595"),
    SymbolDefinition(RisingFactorial, RisingFactorial(z, k), "Rising 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(RisingFactorial(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.

2021-03-15 19:12:00.328586 UTC