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DLMF:27.14.E17 - MaRDI portal

DLMF:27.14.E17 (Q8809)

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DLMF:27.14.E17
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    Statements

    DLMF defining formula
    Δ ⁡ ( a ⁢ τ + b c ⁢ τ + d ) = ( c ⁢ τ + d ) 12 ⁢ Δ ⁡ ( τ ) , discriminant-delta 𝑎 𝜏 𝑏 𝑐 𝜏 𝑑 superscript 𝑐 𝜏 𝑑 12 discriminant-delta 𝜏 {\displaystyle{\displaystyle\Delta\left(\frac{a\tau+b}{c\tau+d}\right)=(c\tau+% d)^{12}\Delta\left(\tau\right),}}
    0 references
    constraint
    ℑ ⁡ τ > 0 𝜏 0 {\displaystyle{\displaystyle\Im\tau>0}}
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    Symbols used
    discriminant function
    DLMF defining formula
    Δ ⁡ ( τ ) discriminant-delta 𝜏 {\displaystyle{\displaystyle\Delta\left(\NVar{\tau}\right)}}
    xml-id
    C27.S14.E16.m2aadec
    0 references
    imaginary part
    DLMF defining formula
    ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}
    xml-id
    C1.S9.E2.m2addec
    0 references

    Identifiers

     
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