Formula:8022

Digital Library of Mathematical Functions ID 23.14.E3

${\displaystyle{\displaystyle\int{\wp^{3}}\left(z\right)\mathrm{d}z=\frac{1}{120}\wp'''\left(z\right)-\frac{3}{20}g_{2}\zeta\left(z\right)+\frac{1}{10}g_{3}z.}}$

Symbols List

• ${\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}$: 23.2.E4
• ${\displaystyle{\displaystyle g_{\NVar{j}}}}$: Weierstrass lattice invariants L g 2 ⁡ , L g 3 ⁡
• ${\displaystyle{\displaystyle\zeta\left(\NVar{z}\right)}}$: 23.2.E5
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathbb{L}}}$: lattice
• ${\displaystyle{\displaystyle z}}$: complex
 

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