DLMF:27.14.E14 (Q8113): Difference between revisions

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Property / constraint
 

τ > 0 𝜏 0 {\displaystyle{\displaystyle\Im\tau>0}}

\imagpart@@{\tau}>0
Property / constraint: τ > 0 𝜏 0 {\displaystyle{\displaystyle\Im\tau>0}} / rank
 
Normal rank

Revision as of 17:23, 30 December 2019

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DLMF:27.14.E14
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    Statements

    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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    τ > 0 𝜏 0 {\displaystyle{\displaystyle\Im\tau>0}}
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