DLMF:4.37.E21 (Q1940): Difference between revisions

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Property / constraint
 

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

z\in\Complexes\setminus(-\infty,1)
Property / constraint: z ( - , 1 ) 𝑧 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,1)}} / rank
 
Normal rank

Revision as of 17:03, 30 December 2019

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DLMF:4.37.E21
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    arccosh z = 2 ln ( ( z + 1 2 ) 1 / 2 + ( z - 1 2 ) 1 / 2 ) , hyperbolic-inverse-cosine 𝑧 2 superscript 𝑧 1 2 1 2 superscript 𝑧 1 2 1 2 {\displaystyle{\displaystyle\operatorname{arccosh}z=2\ln\left(\left(\frac{z+1}% {2}\right)^{1/2}+\left(\frac{z-1}{2}\right)^{1/2}\right),}}
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    DLMF:4.37.E21
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    z ( - , 1 ) 𝑧 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,1)}}
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