Formula:7413

Digital Library of Mathematical Functions ID 19.34.E5

${\displaystyle{\displaystyle\frac{3{c^{2}}}{8\pi ab}M=3R_{F}\left(0,r_{+}^{2},r_{-}^{2}\right)-2r_{-}^{2}R_{D}\left(0,r_{+}^{2},r_{-}^{2}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: elliptic integral symmetric in only two variables
• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle M}}$: mutual inductance
• ${\displaystyle{\displaystyle r_{\pm}}}$: r ±
 

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