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Formula:7942

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Digital Library of Mathematical Functions ID 23.6.E8

η 1 = - π 2 12 ⁢ ω 1 ⁢ θ 1 ′′′ ⁡ ( 0 , q ) θ 1 ′ ⁡ ( 0 , q ) . subscript 𝜂 1 superscript 𝜋 2 12 subscript 𝜔 1 diffop Jacobi-theta 1 3 0 𝑞 diffop Jacobi-theta 1 1 0 𝑞 {\displaystyle{\displaystyle\eta_{1}=-\frac{\pi^{2}}{12\omega_{1}}\frac{\theta% _{1}'''\left(0,q\right)}{\theta_{1}'\left(0,q\right)}.}}


Constraint(s)

Symbols List

  • θ j ⁡ ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}} :
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • q 𝑞 {\displaystyle{\displaystyle q}} : nome
  • ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}} : lattice generators
  • η j subscript 𝜂 𝑗 {\displaystyle{\displaystyle\eta_{j}}} : complex number
  •  Edit this on Wikidata

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