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Fungrim entry: 1f9beb

n=sinc2 ⁣(n)=π\sum_{n=-\infty}^{\infty} \operatorname{sinc}^{2}\!\left(n\right) = \pi
TeX:
\sum_{n=-\infty}^{\infty} \operatorname{sinc}^{2}\!\left(n\right) = \pi
Definitions:
Fungrim symbol Notation Short description
Sumnf(n)\sum_{n} f(n) Sum
Powab{a}^{b} Power
Sincsinc(z)\operatorname{sinc}(z) Sinc function
Infinity\infty Positive infinity
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("1f9beb"),
    Formula(Equal(Sum(Pow(Sinc(n), 2), For(n, Neg(Infinity), Infinity)), Pi)))

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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