DLMF:20.4.E7 (Q6762)

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DLMF:20.4.E7
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    Statements

    Defining formula
    θ 1 ′′ ⁢ ( 0 , q ) = θ 2 ′′′ ⁡ ( 0 , q ) = θ 3 ′′′ ⁡ ( 0 , q ) = θ 4 ′′′ ⁡ ( 0 , q ) = 0 . diffop Jacobi-theta 1 2 0 𝑞 diffop Jacobi-theta 2 3 0 𝑞 diffop Jacobi-theta 3 3 0 𝑞 diffop Jacobi-theta 4 3 0 𝑞 0 {\displaystyle{\displaystyle\theta_{1}''(0,q)=\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.E7
    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.m2afdec
    0 references
    Q10777
    Defining formula
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6adec
    0 references
    Q11950
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C20.S1.XMD5.m1fdec
    0 references
     
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