DLMF:20.5.E6 (Q6773)

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DLMF:20.5.E6
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    Defining formula
    θ 2 ⁡ ( z | τ ) = θ 2 ⁡ ( 0 | τ ) ⁢ cos ⁡ z ⁢ ∏ n = 1 ∞ cos ⁡ ( n ⁢ π ⁢ τ + z ) ⁢ cos ⁡ ( n ⁢ π ⁢ τ - z ) cos 2 ⁡ ( n ⁢ π ⁢ τ ) , Jacobi-theta-tau 2 𝑧 𝜏 Jacobi-theta-tau 2 0 𝜏 𝑧 superscript subscript product 𝑛 1 𝑛 𝜋 𝜏 𝑧 𝑛 𝜋 𝜏 𝑧 2 𝑛 𝜋 𝜏 {\displaystyle{\displaystyle\theta_{2}\left(z\middle|\tau\right)=\theta_{2}% \left(0\middle|\tau\right)\cos z\prod_{n=1}^{\infty}\frac{\cos\left(n\pi\tau+z% \right)\cos\left(n\pi\tau-z\right)}{{\cos^{2}}\left(n\pi\tau\right)},}}
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    DLMF id
    DLMF:20.5.E6
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