DLMF:4.23.E19 (Q1771): Difference between revisions

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Property / constraint
 

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

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

Revision as of 17:01, 30 December 2019

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DLMF:4.23.E19
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    arcsin z = - i ln ( ( 1 - z 2 ) 1 / 2 + i z ) , 𝑧 𝑖 superscript 1 superscript 𝑧 2 1 2 𝑖 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}z=-i\ln\left((1-z^{2})^{1/2}+% iz\right),}}
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    DLMF:4.23.E19
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    z ( - , - 1 ) ( 1 , ) 𝑧 1 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,-1)\cup(1,\infty)}}
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