Formula:7624

Digital Library of Mathematical Functions ID 22.2.E9

${\displaystyle{\displaystyle\operatorname{sc}\left(z,k\right)=\frac{\theta_{3}\left(0,q\right)}{\theta_{4}\left(0,q\right)}\frac{\theta_{1}\left(\zeta,q\right)}{\theta_{2}\left(\zeta,q\right)}=\frac{1}{\operatorname{cs}\left(z,k\right)}.}}$

Symbols List

• ${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}$:
• ${\displaystyle{\displaystyle q}}$: nome
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle\zeta}}$: change of variable
 

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