Formula:7348

Digital Library of Mathematical Functions ID 19.29.E24

${\displaystyle{\displaystyle\int_{y}^{x}\frac{\mathrm{d}t}{\sqrt{Q_{1}(t)Q_{2}(t)}}=4R_{F}\left(U,U+D_{12}+V,U+D_{12}-V\right),}}$

Symbols List

• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle U}}$: U
• ${\displaystyle{\displaystyle D_{jl}}}$: D ⁢ j l
• ${\displaystyle{\displaystyle V}}$: V
• ${\displaystyle{\displaystyle Q(t^{2})}}$: Q ( t 2 )
 

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