DLMF:19.33.E2 (Q6699): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:19.33.E2	No description defined

Statements

{\displaystyle{\displaystyle\frac{S}{2\pi}=c^{2}+\frac{ab}{\sin\phi}\left(E% \left(\phi,k\right){\sin^{2}}\phi+F\left(\phi,k\right){\cos^{2}}\phi\right),}}

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{\displaystyle{\displaystyle a\geq b\geq c}}

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the ratio of the circumference of a circle to its diameter

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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cosine function

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2adec

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Legendre’s incomplete elliptic integral of the first kind

{\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}

C19.S2.E4.m2adec

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Legendre’s incomplete elliptic integral of the second kind

{\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}}

C19.S2.E5.m2adec

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{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2adec

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{\displaystyle{\displaystyle\phi}}

C19.S1.XMD4.m1dec

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