DLMF:20.7.E5 (Q6800)

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DLMF:20.7.E5
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    Statements

    Defining formula
    θ 3 4 ⁡ ( 0 , q ) = θ 2 4 ⁡ ( 0 , q ) + θ 4 4 ⁡ ( 0 , q ) . Jacobi-theta 3 4 0 𝑞 Jacobi-theta 2 4 0 𝑞 Jacobi-theta 4 4 0 𝑞 {\displaystyle{\displaystyle{\theta_{3}^{4}}\left(0,q\right)={\theta_{2}^{4}}% \left(0,q\right)+{\theta_{4}^{4}}\left(0,q\right).}}
    0 references
    DLMF id
    DLMF:20.7.E5
    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.m2addec
    0 references
     
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