DLMF:19.9.E5 (Q6248)

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Language	Label	Description	Also known as
English	DLMF:19.9.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\ln\frac{(1+\sqrt{k^{\prime}})^{2}}{k}<\frac{\pi{K% ^{\prime}}\left(k\right)}{2K\left(k\right)}<\ln\frac{2(1+k^{\prime})}{k}.}}

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DLMF:19.9.E5

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}

C19.S2.E9.m1adec

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Defining formula

{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

C19.S2.E8.m1acdec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2acdec

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Defining formula

{\displaystyle{\displaystyle k}}

C19.S1.XMD5.m1ddec

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Defining formula

{\displaystyle{\displaystyle k^{\prime}}}

C19.S1.XMD6.m1ddec

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Sitelinks

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