DLMF:23.18.E5 (Q7365): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12092 / rank
 
Normal rank
Property / Symbols used: Q12092 / qualifier
 
test:

ε ⁢ ( 𝒜 ) 𝜀 𝒜 {\displaystyle{\displaystyle\varepsilon(\mathcal{A})}}

\varepsilon(\mathcal{A})
Property / Symbols used: Q12092 / qualifier
 
xml-id: C23.S18.XMD3.m1dec

Latest revision as of 00:20, 2 January 2020

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DLMF:23.18.E5
No description defined

    Statements

    test
    η ⁡ ( 𝒜 ⁢ τ ) = ε ⁢ ( 𝒜 ) ⁢ ( - i ⁢ ( c ⁢ τ + d ) ) 1 / 2 ⁢ η ⁡ ( τ ) , Dedekind-modular-Eta 𝒜 𝜏 𝜀 𝒜 superscript 𝑖 𝑐 𝜏 𝑑 1 2 Dedekind-modular-Eta 𝜏 {\displaystyle{\displaystyle\eta\left(\mathcal{A}\tau\right)=\varepsilon(% \mathcal{A})\left(-i(c\tau+d)\right)^{1/2}\eta\left(\tau\right),}}
    0 references
    DLMF id
    DLMF:23.18.E5
    0 references
    Symbols used
    Dedekind’s eta function (or Dedekind modular function)
    test
    η ⁡ ( τ ) Dedekind-modular-Eta 𝜏 {\displaystyle{\displaystyle\eta\left(\NVar{\tau}\right)}}
    xml-id
    C27.S14.E12.m2adec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q12068
    test
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    xml-id
    C23.S1.XMD9.m1cdec
    0 references
    Q12084
    test
    𝒜 𝒜 {\displaystyle{\displaystyle\mathcal{A}}}
    xml-id
    C23.S15.XMD1.m1bdec
    0 references
    Q12087
    test
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C23.S15.XMD4.m1dec
    0 references
    Q12088
    test
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C23.S15.XMD5.m1dec
    0 references
    Q12092
    test
    ε ⁢ ( 𝒜 ) 𝜀 𝒜 {\displaystyle{\displaystyle\varepsilon(\mathcal{A})}}
    xml-id
    C23.S18.XMD3.m1dec
    0 references
     
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