DLMF:20.7.E1 (Q6796)

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DLMF:20.7.E1
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    Statements

    Defining formula
    θ 3 2 ⁡ ( 0 , q ) ⁢ θ 3 2 ⁡ ( z , q ) = θ 4 2 ⁡ ( 0 , q ) ⁢ θ 4 2 ⁡ ( z , q ) + θ 2 2 ⁡ ( 0 , q ) ⁢ θ 2 2 ⁡ ( z , q ) , Jacobi-theta 3 2 0 𝑞 Jacobi-theta 3 2 𝑧 𝑞 Jacobi-theta 4 2 0 𝑞 Jacobi-theta 4 2 𝑧 𝑞 Jacobi-theta 2 2 0 𝑞 Jacobi-theta 2 2 𝑧 𝑞 {\displaystyle{\displaystyle{\theta_{3}^{2}}\left(0,q\right){\theta_{3}^{2}}% \left(z,q\right)={\theta_{4}^{2}}\left(0,q\right){\theta_{4}^{2}}\left(z,q% \right)+{\theta_{2}^{2}}\left(0,q\right){\theta_{2}^{2}}\left(z,q\right),}}
    0 references
    DLMF id
    DLMF:20.7.E1
    0 references
    Symbols used
    Q11945
    Defining formula
    θ j ⁡ ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}
    xml-id
    C20.S2.SS1.m2adec
    0 references
    Q11948
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C20.S1.XMD3.m1dec
    0 references
    Q11950
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C20.S1.XMD5.m1dec
    0 references
     
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