DLMF:4.37.E22 (Q1941): Difference between revisions

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Property / constraint
 

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

x\in(-1,1]
Property / constraint: x ( - 1 , 1 ] 𝑥 1 1 {\displaystyle{\displaystyle x\in(-1,1]}} / rank
 
Normal rank

Revision as of 16:03, 30 December 2019

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DLMF:4.37.E22
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    Statements

    arccosh x = ± ln ( i ( 1 - x 2 ) 1 / 2 + x ) , hyperbolic-inverse-cosine 𝑥 plus-or-minus 𝑖 superscript 1 superscript 𝑥 2 1 2 𝑥 {\displaystyle{\displaystyle\operatorname{arccosh}x=\pm\ln\left(i(1-x^{2})^{1/% 2}+x\right),}}
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    x ( - 1 , 1 ] 𝑥 1 1 {\displaystyle{\displaystyle x\in(-1,1]}}
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