DLMF:20.4.E4 (Q6759)

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DLMF:20.4.E4
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    Statements

    Defining formula
    θ 3 ⁡ ( 0 , q ) = ∏ n = 1 ∞ ( 1 - q 2 ⁢ n ) ⁢ ( 1 + q 2 ⁢ n - 1 ) 2 , Jacobi-theta 3 0 𝑞 superscript subscript product 𝑛 1 1 superscript 𝑞 2 𝑛 superscript 1 superscript 𝑞 2 𝑛 1 2 {\displaystyle{\displaystyle\theta_{3}\left(0,q\right)=\prod\limits_{n=1}^{% \infty}\left(1-q^{2n}\right)\left(1+q^{2n-1}\right)^{2},}}
    0 references
    DLMF id
    DLMF:20.4.E4
    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.m2acdec
    0 references
    Q11947
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C20.S1.XMD2.m1bdec
    0 references
     
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