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Formula:8031

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Digital Library of Mathematical Functions ID 23.15.E8

θ 1 ′ ⁡ ( 0 , q ) = ∂ ⁡ θ 1 ⁡ ( z , q ) / ∂ ⁡ z | z = 0 . diffop Jacobi-theta 1 1 0 𝑞 evaluated-at partial-derivative Jacobi-theta 1 𝑧 𝑞 𝑧 𝑧 0 {\displaystyle{\displaystyle\theta_{1}'\left(0,q\right)=\ifrac{\partial\theta_% {1}\left(z,q\right)}{\partial z}|_{z=0}.}}


Constraint(s)

Symbols List

  • θ j ⁡ ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}} :
  • ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}} : partial derivative of $$f$$ with respect to $$x$$
  • ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}} : partial differential of $$x$$
  • q 𝑞 {\displaystyle{\displaystyle q}} : nome
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  •  Edit this on Wikidata

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