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Fungrim entry: f178f2

[d2dx2agm ⁣(1,x)]x=1=18\left[ \frac{d^{2}}{{d x}^{2}} \operatorname{agm}\!\left(1, x\right) \right]_{x = 1} = -\frac{1}{8}
TeX:
\left[ \frac{d^{2}}{{d x}^{2}} \operatorname{agm}\!\left(1, x\right) \right]_{x = 1} = -\frac{1}{8}
Definitions:
Fungrim symbol Notation Short description
ComplexDerivativeddzf ⁣(z)\frac{d}{d z}\, f\!\left(z\right) Complex derivative
AGMagm ⁣(a,b)\operatorname{agm}\!\left(a, b\right) Arithmetic-geometric mean
Source code for this entry:
Entry(ID("f178f2"),
    Formula(Equal(ComplexDerivative(AGM(1, x), For(x, 1, 2)), Neg(Div(1, 8)))))

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2021-03-15 19:12:00.328586 UTC