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Fungrim entry: 5706ab

\eta'(i) = -\frac{i}{4} \eta(i)

TeX:

\eta'(i) = -\frac{i}{4} \eta(i)

Definitions:

Fungrim symbol	Notation	Short description
`ComplexDerivative`	$\frac{d}{d z}\, f\!\left(z\right)$	Complex derivative
`DedekindEta`	$\eta(\tau)$	Dedekind eta function
`ConstI`	$i$	Imaginary unit

Source code for this entry:

Entry(ID("5706ab"),
    Formula(Equal(ComplexDerivative(DedekindEta(tau), For(tau, ConstI)), Mul(Neg(Div(ConstI, 4)), DedekindEta(ConstI)))))

Topics using this entry

Dedekind eta function

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