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Formula:7509

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Digital Library of Mathematical Functions ID 20.7.E19

θ 4 ⁡ ( 2 ⁢ z | 2 ⁢ τ ) = A ⁢ θ 3 ⁡ ( z | τ ) ⁢ θ 4 ⁡ ( z | τ ) . Jacobi-theta-tau 4 2 𝑧 2 𝜏 𝐴 Jacobi-theta-tau 3 𝑧 𝜏 Jacobi-theta-tau 4 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{4}\left(2z\middle|2\tau\right)=A\theta_{3}% \left(z\middle|\tau\right)\theta_{4}\left(z\middle|\tau\right).}}


Constraint(s)

Symbols List

  • θ j ⁡ ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  • τ 𝜏 {\displaystyle{\displaystyle\tau}} : lattice parameter
  • A 𝐴 {\displaystyle{\displaystyle A}} : 20.7.E15
  •  Edit this on Wikidata

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