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Fungrim entry: 1635f5

ez=k=0zkk!{e}^{z} = \sum_{k=0}^{\infty} \frac{{z}^{k}}{k !}
Assumptions:zCz \in \mathbb{C}
TeX:
{e}^{z} = \sum_{k=0}^{\infty} \frac{{z}^{k}}{k !}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Expez{e}^{z} Exponential function
Sumnf(n)\sum_{n} f(n) Sum
Powab{a}^{b} Power
Factorialn!n ! Factorial
Infinity\infty Positive infinity
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("1635f5"),
    Formula(Equal(Exp(z), Sum(Div(Pow(z, k), Factorial(k)), For(k, 0, Infinity)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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

2019-10-05 13:11:19.856591 UTC