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Fungrim entry: c7c483

∣sinc⁡(z)∣≤e∣Im⁡(z)∣\left|\operatorname{sinc}(z)\right| \le {e}^{\left|\operatorname{Im}(z)\right|}
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\left|\operatorname{sinc}(z)\right| \le {e}^{\left|\operatorname{Im}(z)\right|}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
Expez{e}^{z} Exponential function
ImIm⁡(z)\operatorname{Im}(z) Imaginary part
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("c7c483"),
    Formula(LessEqual(Abs(Sinc(z)), Exp(Abs(Im(z))))),
    Variables(z),
    Assumptions(Element(z, CC)))

Topics using this entry

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2021-03-15 19:12:00.328586 UTC