DLMF:20.6.E3 (Q6787)

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DLMF:20.6.E3
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    θ 2 ⁡ ( π ⁢ z | τ ) = θ 2 ⁡ ( 0 | τ ) ⁢ exp ⁡ ( - ∑ j = 1 ∞ 1 2 ⁢ j ⁢ α 2 ⁢ j ⁢ ( τ ) ⁢ z 2 ⁢ j ) , Jacobi-theta-tau 2 𝜋 𝑧 𝜏 Jacobi-theta-tau 2 0 𝜏 superscript subscript 𝑗 1 1 2 𝑗 subscript 𝛼 2 𝑗 𝜏 superscript 𝑧 2 𝑗 {\displaystyle{\displaystyle\theta_{2}\left(\pi z\middle|\tau\right)=\theta_{2% }\left(0\middle|\tau\right)\exp\left(-\sum_{j=1}^{\infty}\frac{1}{2j}\alpha_{2% j}(\tau)z^{2j}\right),}}
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    DLMF:20.6.E3
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