TeX:
\eta\!\left(4 i\right) = \frac{\eta(i)}{{2}^{13 / 16} {\left(1 + \sqrt{2}\right)}^{1 / 4}}
Definitions:
Fungrim symbol | Notation | Short description |
---|---|---|
DedekindEta | Dedekind eta function | |
ConstI | Imaginary unit | |
Pow | Power | |
Sqrt | Principal square root |
Source code for this entry:
Entry(ID("3a56d8"), Formula(Equal(DedekindEta(Mul(4, ConstI)), Div(DedekindEta(ConstI), Mul(Pow(2, Div(13, 16)), Pow(Add(1, Sqrt(2)), Div(1, 4)))))))