DLMF:20.6.E5 (Q6789)

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DLMF:20.6.E5
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    Defining formula
    θ 4 ⁡ ( π ⁢ z | τ ) = θ 4 ⁡ ( 0 | τ ) ⁢ exp ⁡ ( - ∑ j = 1 ∞ 1 2 ⁢ j ⁢ γ 2 ⁢ j ⁢ ( τ ) ⁢ z 2 ⁢ j ) . Jacobi-theta-tau 4 𝜋 𝑧 𝜏 Jacobi-theta-tau 4 0 𝜏 superscript subscript 𝑗 1 1 2 𝑗 subscript 𝛾 2 𝑗 𝜏 superscript 𝑧 2 𝑗 {\displaystyle{\displaystyle\theta_{4}\left(\pi z\middle|\tau\right)=\theta_{4% }\left(0\middle|\tau\right)\exp\left(-\sum_{j=1}^{\infty}\frac{1}{2j}\gamma_{2% j}(\tau)z^{2j}\right).}}
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    DLMF id
    DLMF:20.6.E5
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