DLMF:23.18.E5

MaRDI QIDQ8058

• Label: DLMF:23.18.E5

Digital Library of Mathematical Functions ID 23.18.E5

${\displaystyle{\displaystyle\eta\left(\mathcal{A}\tau\right)=\varepsilon(\mathcal{A})\left(-i(c\tau+d)\right)^{1/2}\eta\left(\tau\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\eta\left(\NVar{\tau}\right)}}$: Dedekind’s eta function (or Dedekind modular function)
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\tau}}$: complex variable
• ${\displaystyle{\displaystyle\mathcal{A}}}$:
• ${\displaystyle{\displaystyle c}}$: integer
• ${\displaystyle{\displaystyle d}}$: integer
• ${\displaystyle{\displaystyle\varepsilon(\mathcal{A})}}$: function
 

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