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Fungrim entry: 921d61

ψ ⁣(56)=182ζ ⁣(3)+43π3\psi''\!\left(\frac{5}{6}\right) = -182 \zeta\!\left(3\right) + 4 \sqrt{3} {\pi}^{3}
TeX:
\psi''\!\left(\frac{5}{6}\right) = -182 \zeta\!\left(3\right) + 4 \sqrt{3} {\pi}^{3}
Definitions:
Fungrim symbol Notation Short description
DigammaFunctionψ ⁣(z)\psi\!\left(z\right) Digamma function
RiemannZetaζ ⁣(s)\zeta\!\left(s\right) Riemann zeta function
Sqrtz\sqrt{z} Principal square root
Powab{a}^{b} Power
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("921d61"),
    Formula(Equal(DigammaFunction(Div(5, 6), 2), Add(Neg(Mul(182, RiemannZeta(3))), Mul(Mul(4, Sqrt(3)), Pow(Pi, 3))))))

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2021-03-15 19:12:00.328586 UTC