Formula:7168

Digital Library of Mathematical Functions ID 19.23.E1

${\displaystyle{\displaystyle R_{F}\left(0,y,z\right)=\int_{0}^{\pi/2}(y{\cos^{2}}\theta+z{\sin^{2}}\theta)^{-1/2}\mathrm{d}\theta,}}$

Symbols List

• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
 

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