DLMF:15.12.E1 (Q5161)

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Language	Label	Description	Also known as
English	DLMF:15.12.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\alpha_{\pm}=\operatorname{arctan}\left(\frac{% \operatorname{ph}z-\operatorname{ph}\left(1-z\right)\mp\pi}{\ln|1-z^{-1}|}% \right),}}

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DLMF:15.12.E1

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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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Defining formula

{\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

C4.S23.SS2.p1.m7adec

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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\operatorname{ph}}}

C1.S9.E7.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1dec

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Sitelinks

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