Formula:7502

Digital Library of Mathematical Functions ID 20.7.E12

${\displaystyle{\displaystyle\frac{\theta_{1}\left(z,q^{2}\right)\theta_{4}\left(z,q^{2}\right)}{\theta_{1}\left(z,q\right)}=\frac{\theta_{2}\left(z,q^{2}\right)\theta_{3}\left(z,q^{2}\right)}{\theta_{2}\left(z,q\right)}=\tfrac{1}{2}\theta_{2}\left(0,q\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}$:
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle q}}$: nome
 

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