DLMF:19.25.E21 (Q6525)

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Language	Label	Description	Also known as
English	DLMF:19.25.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{el2}\left(x,k_{c},a,b\right)=a\mathrm{el1}% \left(x,k_{c}\right)+\tfrac{1}{3}{(b-a)}R_{D}\left(r,r+k_{c}^{2},r+1\right),}}

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DLMF:19.25.E21

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Defining formula

{\displaystyle{\displaystyle\mathrm{el1}\left(\NVar{x},\NVar{k_{c}}\right)}}

C19.S2.E15.m1aadec

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Bulirsch’s incomplete elliptic integral of the second kind

Defining formula

{\displaystyle{\displaystyle\mathrm{el2}\left(\NVar{x},\NVar{k_{c}},\NVar{a},% \NVar{b}\right)}}

C19.S2.E12.m2adec

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elliptic integral symmetric in only two variables

Defining formula

{\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

C19.S16.E5.m2agdec

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Defining formula

{\displaystyle{\displaystyle k}}

C19.S1.XMD5.m1tdec

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Defining formula

{\displaystyle{\displaystyle r}}

C19.S25.XMD1.m1adec

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