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Fungrim entry: 8814ad

n=sinc3 ⁣(n)=3π4\sum_{n=-\infty}^{\infty} \operatorname{sinc}^{3}\!\left(n\right) = \frac{3 \pi}{4}
TeX:
\sum_{n=-\infty}^{\infty} \operatorname{sinc}^{3}\!\left(n\right) = \frac{3 \pi}{4}
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("8814ad"),
    Formula(Equal(Sum(Pow(Sinc(n), 3), For(n, Neg(Infinity), Infinity)), Div(Mul(3, Pi), 4))))

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2020-08-27 09:56:25.682319 UTC