DLMF:19.24.E1 (Q6482)

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No description defined

Language	Label	Description	Also known as
English	DLMF:19.24.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\ln 4\leq\sqrt{z}R_{F}\left(0,y,z\right)+\ln\sqrt{% y/z}\leq\tfrac{1}{2}\pi,}}

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DLMF:19.24.E1

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{\displaystyle{\displaystyle 0<y\leq z}}

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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.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2adec

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