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Fungrim entry: 49514d

n=sinc4 ⁣(n)=2π3\sum_{n=-\infty}^{\infty} \operatorname{sinc}^{4}\!\left(n\right) = \frac{2 \pi}{3}
TeX:
\sum_{n=-\infty}^{\infty} \operatorname{sinc}^{4}\!\left(n\right) = \frac{2 \pi}{3}
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("49514d"),
    Formula(Equal(Sum(Pow(Sinc(n), 4), For(n, Neg(Infinity), Infinity)), Div(Mul(2, Pi), 3))))

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2021-03-15 19:12:00.328586 UTC