DLMF:23.6.E31

MaRDI QIDQ7967

• Label: DLMF:23.6.E31

Digital Library of Mathematical Functions ID 23.6.E31

${\displaystyle{\displaystyle z-\omega_{1}=\frac{i}{2}\int_{t}^{e_{1}}\frac{\mathrm{d}u}{\sqrt{(e_{1}-u)(u-e_{2})(u-e_{3})}},}}$

Constraint(s)

${\displaystyle{\displaystyle e_{2}\leq t\leq e_{1}}}$
${\displaystyle{\displaystyle e_{2}\leq t\leq e_{1}}}$
${\displaystyle{\displaystyle z\in[\omega_{1},\omega_{1}+\omega_{3}]}}$

Symbols List

• ${\displaystyle{\displaystyle e_{\NVar{j}}}}$:
• ${\displaystyle{\displaystyle[\NVar{a},\NVar{b}]}}$:
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathbb{L}}}$: lattice
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle\omega_{1}}}$: lattice generators
• ${\displaystyle{\displaystyle t}}$: t
 

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