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Fungrim entry: 51f9b4

sinc(z)sinc ⁣(iz)\left|\operatorname{sinc}(z)\right| \le \operatorname{sinc}\!\left(i \left|z\right|\right)
Assumptions:zCz \in \mathbb{C}
TeX:
\left|\operatorname{sinc}(z)\right| \le \operatorname{sinc}\!\left(i \left|z\right|\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Absz\left|z\right| Absolute value
Sincsinc(z)\operatorname{sinc}(z) Sinc function
ConstIii Imaginary unit
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("51f9b4"),
    Formula(LessEqual(Abs(Sinc(z)), Sinc(Mul(ConstI, Abs(z))))),
    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.

2020-08-27 09:56:25.682319 UTC