DLMF:20.7.E26 (Q6821)

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DLMF:20.7.E26
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    Statements

    Defining formula
    θ 1 ⁡ ( z | τ + 1 ) = e i ⁢ π / 4 ⁢ θ 1 ⁡ ( z | τ ) , Jacobi-theta-tau 1 𝑧 𝜏 1 superscript 𝑒 𝑖 𝜋 4 Jacobi-theta-tau 1 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{1}\left(z\middle|\tau+1\right)=e^{i\pi/4}% \theta_{1}\left(z\middle|\tau\right),}}
    0 references
    DLMF id
    DLMF:20.7.E26
    0 references
    Symbols used
    Q11946
    Defining formula
    θ j ⁡ ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}
    xml-id
    C20.S2.SS1.m1akdec
    0 references
     
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