DLMF:19.33.E11

MaRDI QIDQ7405

• Label: DLMF:19.33.E11

Digital Library of Mathematical Functions ID 19.33.E11

${\displaystyle{\displaystyle U=\tfrac{1}{2}(\alpha\beta\gamma)^{2}R_{F}\left(\alpha^{2},\beta^{2},\gamma^{2}\right)\int_{0}^{\infty}(g(r))^{2}\mathrm{d}r,}}$

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
• ${\displaystyle{\displaystyle\alpha}}$: positive constant
• ${\displaystyle{\displaystyle\beta}}$: positive constant
• ${\displaystyle{\displaystyle\gamma}}$: positive constant
• ${\displaystyle{\displaystyle U}}$: energy
• ${\displaystyle{\displaystyle g(r)}}$: function
 

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