DLMF:27.14.E14 (Q8113)

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Language	Label	Description	Also known as
English	DLMF:27.14.E14	No description defined

Statements

Defining formula

{\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:27.14.E14

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

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Dedekind’s eta function (or Dedekind modular function)

Defining formula

{\displaystyle{\displaystyle\eta\left(\NVar{\tau}\right)}}

C27.S14.E12.m2abdec

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Defining formula

{\displaystyle{\displaystyle\Im}}

C1.S9.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle a}}

C27.S14.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle b}}

C27.S14.XMD5.m1dec

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Defining formula

{\displaystyle{\displaystyle c}}

C27.S14.XMD6.m1dec

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Defining formula

{\displaystyle{\displaystyle d}}

C27.S14.XMD7.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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