DLMF:20.7.E22 (Q6817)

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DLMF:20.7.E22
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    θ 2 ( 4 z | 4 τ ) = B θ 2 ( 1 8 π - z | τ ) θ 2 ( 1 8 π + z | τ ) θ 2 ( 3 8 π - z | τ ) θ 2 ( 3 8 π + z | τ ) , Jacobi-theta-tau 2 4 𝑧 4 𝜏 𝐵 Jacobi-theta-tau 2 1 8 𝜋 𝑧 𝜏 Jacobi-theta-tau 2 1 8 𝜋 𝑧 𝜏 Jacobi-theta-tau 2 3 8 𝜋 𝑧 𝜏 Jacobi-theta-tau 2 3 8 𝜋 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{2}\left(4z\middle|4\tau\right)=B\theta_{2}% \left(\tfrac{1}{8}\pi-z\middle|\tau\right)\theta_{2}\left(\tfrac{1}{8}\pi+z% \middle|\tau\right)\*\theta_{2}\left(\tfrac{3}{8}\pi-z\middle|\tau\right)% \theta_{2}\left(\tfrac{3}{8}\pi+z\middle|\tau\right),}}
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    DLMF:20.7.E22
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