Fungrim home page

Fungrim entry: bb88c8

ψ′′ ⁣(16)=−182ζ ⁣(3)−43π3\psi''\!\left(\frac{1}{6}\right) = -182 \zeta\!\left(3\right) - 4 \sqrt{3} {\pi}^{3}
TeX:
\psi''\!\left(\frac{1}{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("bb88c8"),
    Formula(Equal(DigammaFunction(Div(1, 6), 2), Sub(Neg(Mul(182, RiemannZeta(3))), Mul(Mul(4, Sqrt(3)), Pow(Pi, 3))))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC