DLMF:20.9.E3 (Q6834)

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DLMF:20.9.E3
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    R F ( θ 2 2 ( z , q ) θ 2 2 ( 0 , q ) , θ 3 2 ( z , q ) θ 3 2 ( 0 , q ) , θ 4 2 ( z , q ) θ 4 2 ( 0 , q ) ) = θ 1 ( 0 , q ) θ 1 ( z , q ) z , Carlson-integral-RF Jacobi-theta 2 2 𝑧 𝑞 Jacobi-theta 2 2 0 𝑞 Jacobi-theta 3 2 𝑧 𝑞 Jacobi-theta 3 2 0 𝑞 Jacobi-theta 4 2 𝑧 𝑞 Jacobi-theta 4 2 0 𝑞 diffop Jacobi-theta 1 1 0 𝑞 Jacobi-theta 1 𝑧 𝑞 𝑧 {\displaystyle{\displaystyle R_{F}\left(\frac{{\theta_{2}^{2}}\left(z,q\right)% }{{\theta_{2}^{2}}\left(0,q\right)},\frac{{\theta_{3}^{2}}\left(z,q\right)}{{% \theta_{3}^{2}}\left(0,q\right)},\frac{{\theta_{4}^{2}}\left(z,q\right)}{{% \theta_{4}^{2}}\left(0,q\right)}\right)=\frac{\theta_{1}'\left(0,q\right)}{% \theta_{1}\left(z,q\right)}z,}}
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    DLMF:20.9.E3
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