DLMF:19.2.E12 (Q6100)

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Language	Label	Description	Also known as
English	DLMF:19.2.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{el2}\left(x,k_{c},a,b\right)=\int_{0}^{% \operatorname{arctan}x}\frac{a+b{\tan^{2}}\theta}{\sqrt{(1+{\tan^{2}}\theta)(1% +k_{c}^{2}{\tan^{2}}\theta)}}\mathrm{d}\theta.}}

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DLMF:19.2.E12

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Symbols defined

Bulirsch’s incomplete elliptic integral of the second kind

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Defining formula

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

C1.S4.SS4.m1agdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3agdec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

C4.S23.SS2.p1.m7adec

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tangent function

Defining formula

{\displaystyle{\displaystyle\tan\NVar{z}}}

C4.S14.E4.m2adec

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Defining formula

{\displaystyle{\displaystyle a}}

C19.S2.XMD4.m1adec

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Defining formula

{\displaystyle{\displaystyle b}}

C19.S2.XMD5.m1adec

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Defining formula

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

C19.S2.XMD7.m1adec

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Defining formula

{\displaystyle{\displaystyle x}}

C19.S2.XMD8.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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