DLMF:19.2.E11 (Q6099)

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Language	Label	Description	Also known as
English	DLMF:19.2.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{cel}\left(k_{c},p,a,b\right)=\int_{0}^{\pi% /2}\frac{a{\cos^{2}}\theta+b{\sin^{2}}\theta}{{\cos^{2}}\theta+p{\sin^{2}}% \theta}\frac{\mathrm{d}\theta}{\sqrt{{\cos^{2}}\theta+k_{c}^{2}{\sin^{2}}% \theta}},}}

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DLMF:19.2.E11

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Symbols defined

Bulirsch’s complete elliptic integral

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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cosine function

Defining formula

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

C4.S14.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3afdec

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Defining formula

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

C4.S14.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle a}}

C19.S2.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle b}}

C19.S2.XMD5.m1dec

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Defining formula

{\displaystyle{\displaystyle p}}

C19.S2.XMD6.m1dec

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Defining formula

{\displaystyle{\displaystyle k_{c}}}

C19.S2.XMD7.m1dec

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Sitelinks

Wikipedia(0 entries)

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