DLMF:4.37.E22 (Q1941)

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Language	Label	Description	Also known as
English	DLMF:4.37.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{arccosh}x=\pm\ln\left(i(1-x^{2})^{1/% 2}+x\right),}}

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DLMF:4.37.E22

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{\displaystyle{\displaystyle x\in(-1,1]}}

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2aedec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}

C4.S37.SS2.p1.m9afdec

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Defining formula

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

C1.S9.E1.m2afdec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2afdec

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Defining formula

{\displaystyle{\displaystyle(\NVar{a},\NVar{b}]}}

introduction.Sx4.p2.t1.r1.m3aadec

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Sitelinks

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