DLMF:20.4.E1 (Q6755)

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DLMF:20.4.E1
No description defined

    Statements

    Defining formula
    θ 1 ⁡ ( 0 , q ) = θ 2 ′ ⁡ ( 0 , q ) = θ 3 ′ ⁡ ( 0 , q ) = θ 4 ′ ⁡ ( 0 , q ) = 0 , Jacobi-theta 1 0 𝑞 diffop Jacobi-theta 2 1 0 𝑞 diffop Jacobi-theta 3 1 0 𝑞 diffop Jacobi-theta 4 1 0 𝑞 0 {\displaystyle{\displaystyle\theta_{1}\left(0,q\right)=\theta_{2}'\left(0,q% \right)=\theta_{3}'\left(0,q\right)=\theta_{4}'\left(0,q\right)=0,}}
    0 references
    DLMF id
    DLMF:20.4.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
    Q11950
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C20.S1.XMD5.m1dec
    0 references
     
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