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DLMF:23.15.E5 - MaRDI portal

DLMF:23.15.E5 (Q8028)

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DLMF:23.15.E5
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    Statements

    DLMF defining formula
    f ⁢ ( 𝒜 ⁢ τ ) = c 𝒜 ⁢ ( c ⁢ τ + d ) ℓ ⁢ f ⁢ ( τ ) , 𝑓 𝒜 𝜏 subscript 𝑐 𝒜 superscript 𝑐 𝜏 𝑑 ℓ 𝑓 𝜏 {\displaystyle{\displaystyle f(\mathcal{A}\tau)=c_{\mathcal{A}}(c\tau+d)^{\ell% }f(\tau),}}
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    ℑ ⁡ τ > 0 𝜏 0 {\displaystyle{\displaystyle\Im\tau>0}}
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    Symbols used
    imaginary part
    DLMF defining formula
    ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}
    xml-id
    C1.S9.E2.m2adec
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    complex variable
    DLMF defining formula
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    xml-id
    C23.S1.XMD9.m1adec
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    Q12087
    DLMF defining formula
    𝒜 𝒜 {\displaystyle{\displaystyle\mathcal{A}}}
    xml-id
    C23.S15.XMD1.m1adec
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    integer
    DLMF defining formula
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C23.S15.XMD4.m1bdec
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    integer
    DLMF defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C23.S15.XMD5.m1bdec
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    modular function
    DLMF defining formula
    f ⁢ ( τ ) 𝑓 𝜏 {\displaystyle{\displaystyle f(\tau)}}
    xml-id
    C23.S15.XMD6.m1dec
    0 references
    constant
    DLMF defining formula
    c 𝒜 subscript 𝑐 𝒜 {\displaystyle{\displaystyle c_{\mathcal{A}}}}
    xml-id
    C23.S15.XMD7.m1dec
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    level
    DLMF defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C23.S15.XMD8.m1dec
    0 references

    Identifiers

     
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