Formula:7238

Digital Library of Mathematical Functions ID 19.25.E34

${\displaystyle{\displaystyle\operatorname{arcpq}\left(x,k\right)=\sqrt{w}R_{F}\left(x^{2},1,1+\Delta(\mathrm{r,q})w\right),}}$

Constraint(s)

${\displaystyle{\displaystyle w=\ifrac{(1-x^{2})}{\Delta(\mathrm{q,p})}}}$

Symbols List

• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
• ${\displaystyle{\displaystyle k}}$: real or complex modulus
• ${\displaystyle{\displaystyle\Delta(\mathrm{p,q})}}$: function (locally)
 

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