Assumptions:
TeX:
{z \choose k} = \frac{\left(z\right)^{\underline{k}}}{k !} z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; k \in \mathbb{Z}_{\ge 0}
Definitions:
Fungrim symbol | Notation | Short description |
---|---|---|
Binomial | Binomial coefficient | |
FallingFactorial | Falling factorial | |
Factorial | Factorial | |
CC | Complex numbers | |
ZZGreaterEqual | Integers greater than or equal to n |
Source code for this entry:
Entry(ID("1d5e92"), Formula(Equal(Binomial(z, k), Div(FallingFactorial(z, k), Factorial(k)))), Variables(z, k), Assumptions(And(Element(z, CC), Element(k, ZZGreaterEqual(0)))))