DLMF:9.9.E14 (Q2875)

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No description defined

Language	Label	Description	Also known as
English	DLMF:9.9.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\beta_{k}=e^{\pi i/3}T\left(\tfrac{3}{8}\pi(4k-1)+% \tfrac{3}{4}i\ln 2\right),}}

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DLMF:9.9.E14

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aldec

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Defining formula

{\displaystyle{\displaystyle\beta_{\NVar{k}}}}

C9.S9.SS1.p2.m7adec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.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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Defining formula

{\displaystyle{\displaystyle k}}

C9.S1.XMD1.m1mdec

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expansion (locally)

Defining formula

{\displaystyle{\displaystyle T}}

C9.S9.XMD2.m1bdec

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Sitelinks

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