DLMF:4.37.E31 (Q1950)

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Language	Label	Description	Also known as
English	DLMF:4.37.E31	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle w=\operatorname{Arctanh}z=\operatorname{arctanh}z% +k\pi i,}}

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DLMF:4.37.E31

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{\displaystyle{\displaystyle z\neq\pm 1}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aidec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}}

C4.S37.SS2.p1.m10aedec

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Defining formula

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

C1.S9.E1.m2akdec

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general inverse hyperbolic tangent function

Defining formula

{\displaystyle{\displaystyle\operatorname{Arctanh}\NVar{z}}}

C4.S37.E3.m2abdec

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Defining formula

{\displaystyle{\displaystyle k}}

C4.S1.XMD1.m1bdec

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Sitelinks

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