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DLMF:20.7.E16 - MaRDI portal

DLMF:20.7.E16 (Q7506)

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DLMF:20.7.E16
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    Statements

    DLMF defining formula
    θ 1 ⁡ ( 2 ⁢ z | 2 ⁢ τ ) = A ⁢ θ 1 ⁡ ( z | τ ) ⁢ θ 2 ⁡ ( z | τ ) , Jacobi-theta-tau 1 2 𝑧 2 𝜏 𝐴 Jacobi-theta-tau 1 𝑧 𝜏 Jacobi-theta-tau 2 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{1}\left(2z\middle|2\tau\right)=A\theta_{1}% \left(z\middle|\tau\right)\theta_{2}\left(z\middle|\tau\right),}}
    0 references
    Symbols used
    Q11949
    DLMF defining formula
    θ j ⁡ ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}
    xml-id
    C20.S2.SS1.m1aadec
    0 references
    complex
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C20.S1.XMD3.m1mdec
    0 references
    lattice parameter
    DLMF defining formula
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    xml-id
    C20.S1.XMD4.m1adec
    0 references
    20.7.E15
    DLMF defining formula
    A 𝐴 {\displaystyle{\displaystyle A}}
    xml-id
    C20.S7.XMD1.m1adec
    0 references

    Identifiers

     
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