DLMF:19.24.E15 (Q6500)

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Language	Label	Description	Also known as
English	DLMF:19.24.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{C}\left(x,\tfrac{1}{2}(y+z)\right)\leq R_{F}% \left(x,y,z\right)\leq R_{C}\left(x,\sqrt{yz}\right),}}

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DLMF:19.24.E15

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{\displaystyle{\displaystyle x\geq 0}}

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Carlson’s combination of inverse circular and inverse hyperbolic functions

Defining formula

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

C19.S2.E17.m2adec

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symmetric elliptic integral of first kind

Defining formula

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

C19.S16.E1.m2afdec

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