DLMF:4.37.E19 (Q1938)

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Language	Label	Description	Also known as
English	DLMF:4.37.E19	No description defined

Statements

Defining formula

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

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DLMF:4.37.E19

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{\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,1)}}

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Defining formula

{\displaystyle{\displaystyle\mathbb{C}}}

introduction.Sx4.p1.t1.r1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2acdec

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Defining formula

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

C4.S37.SS2.p1.m9acdec

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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(\NVar{a},\NVar{b})}}

introduction.Sx4.p1.t1.r29.m6aadec

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Sitelinks

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