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DLMF:23.17#Ex6
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Formula:8038
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MaRDI QID
Q8038
Label: DLMF:23.17#Ex6
Digital Library of Mathematical Functions ID
23.17#Ex6
η
(
e
π
i
/
3
)
=
3
1
/
8
(
Γ
(
1
3
)
)
3
/
2
2
π
e
π
i
/
24
.
Dedekind-modular-Eta
superscript
𝑒
𝜋
𝑖
3
superscript
3
1
8
superscript
Euler-Gamma
1
3
3
2
2
𝜋
superscript
𝑒
𝜋
𝑖
24
{\displaystyle{\displaystyle\eta\left(\textstyle e^{\pi i/3}\right)=\frac{3^{1% /8}\left(\Gamma\left(\tfrac{1}{3}\right)\right)^{3/2}}{2\pi}e^{\pi i/24}.}}
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