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DLMF:23.17#Ex6 - MaRDI portal

DLMF:23.17#Ex6 (Q8038)

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DLMF:23.17#Ex6
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    DLMF defining formula
    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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