Formula:7626

Digital Library of Mathematical Functions ID 22.2.E11

${\displaystyle{\displaystyle\operatorname{pq}\left(z,k\right)=\ifrac{\theta_{p}\left(z\middle|\tau\right)}{\theta_{q}\left(z\middle|\tau\right)},}}$

Symbols List

• ${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}\right)}}$:
• ${\displaystyle{\displaystyle\operatorname{pq}\left(\NVar{z},\NVar{k}\right)}}$: generic Jacobian elliptic function
• ${\displaystyle{\displaystyle q}}$: nome
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle\tau}}$: ratio
 

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