DLMF:19.9.E11 (Q6254)

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Language	Label	Description	Also known as
English	DLMF:19.9.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\phi\leq F\left(\phi,k\right)\leq\min(\phi/\Delta,% {\operatorname{gd}^{-1}}\left(\phi\right)),}}

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DLMF:19.9.E11

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Legendre’s incomplete elliptic integral of the first kind

Defining formula

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

C19.S2.E4.m2adec

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inverse Gudermannian function

Defining formula

{\displaystyle{\displaystyle{\operatorname{gd}^{-1}}\left(\NVar{x}\right)}}

C4.S23.E41.m2adec

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Defining formula

{\displaystyle{\displaystyle\phi}}

C19.S1.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle k}}

C19.S1.XMD5.m1idec

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Defining formula

{\displaystyle{\displaystyle\Delta}}

C19.S9.XMD2.m1dec

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Sitelinks

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