Formula:7508

Digital Library of Mathematical Functions ID 20.7.E18

${\displaystyle{\displaystyle\theta_{3}\left(2z\middle|2\tau\right)=A\theta_{3}\left(\tfrac{1}{4}\pi-z\middle|\tau\right)\theta_{3}\left(\tfrac{1}{4}\pi+z\middle|\tau\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle\tau}}$: lattice parameter
• ${\displaystyle{\displaystyle A}}$: 20.7.E15
 

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