Formula:7627

Digital Library of Mathematical Functions ID 22.2.E12

${\displaystyle{\displaystyle\tau=\ifrac{\mathrm{i}{K^{\prime}}\left(k\right)}{K\left(k\right)},}}$

Symbols List

• ${\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}$: Legendre’s complementary complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle\tau}}$: ratio
 

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