Formula:9488

Digital Library of Mathematical Functions ID 29.17.E1

${\displaystyle{\displaystyle F(z)=E(z)\int_{\mathrm{i}{K^{\prime}}}^{z}\frac{\mathrm{d}u}{(E(u))^{2}}.}}$

Symbols List

• ${\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}$: Legendre’s complementary complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle k}}$: real parameter
 

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