DLMF:27.14.E14 (Q8113)

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DLMF:27.14.E14
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    Statements

    test
    η ⁡ ( a ⁢ τ + b c ⁢ τ + d ) = ε ⁢ ( - i ⁢ ( c ⁢ τ + d ) ) 1 2 ⁢ η ⁡ ( τ ) , Dedekind-modular-Eta 𝑎 𝜏 𝑏 𝑐 𝜏 𝑑 𝜀 superscript imaginary-unit 𝑐 𝜏 𝑑 1 2 Dedekind-modular-Eta 𝜏 {\displaystyle{\displaystyle\eta\left(\frac{a\tau+b}{c\tau+d}\right)=% \varepsilon(-\mathrm{i}(c\tau+d))^{\frac{1}{2}}\eta\left(\tau\right),}}
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    DLMF id
    DLMF:27.14.E14
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    constraint
    ℑ ⁡ τ > 0 𝜏 0 {\displaystyle{\displaystyle\Im\tau>0}}
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