DLMF:20.7.E8 (Q6803)

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DLMF:20.7.E8
No description defined

    Statements

    Defining formula
    θ 4 2 ⁡ ( 0 , q ) ⁢ θ 3 ⁡ ( w + z , q ) ⁢ θ 3 ⁡ ( w - z , q ) = θ 4 2 ⁡ ( w , q ) ⁢ θ 3 2 ⁡ ( z , q ) - θ 1 2 ⁡ ( w , q ) ⁢ θ 2 2 ⁡ ( z , q ) , Jacobi-theta 4 2 0 𝑞 Jacobi-theta 3 𝑤 𝑧 𝑞 Jacobi-theta 3 𝑤 𝑧 𝑞 Jacobi-theta 4 2 𝑤 𝑞 Jacobi-theta 3 2 𝑧 𝑞 Jacobi-theta 1 2 𝑤 𝑞 Jacobi-theta 2 2 𝑧 𝑞 {\displaystyle{\displaystyle{\theta_{4}^{2}}\left(0,q\right)\theta_{3}\left(w+% z,q\right)\theta_{3}\left(w-z,q\right)={\theta_{4}^{2}}\left(w,q\right){\theta% _{3}^{2}}\left(z,q\right)-{\theta_{1}^{2}}\left(w,q\right){\theta_{2}^{2}}% \left(z,q\right),}}
    0 references
    DLMF id
    DLMF:20.7.E8
    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.m2agdec
    0 references
    Q11948
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C20.S1.XMD3.m1fdec
    0 references
    Q11950
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C20.S1.XMD5.m1gdec
    0 references
     
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