DLMF:4.23.E23 (Q1775): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
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 16:01, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:4.23.E23
No description defined

    Statements

    arccos z = - 2 i ln ( ( 1 + z 2 ) 1 / 2 + i ( 1 - z 2 ) 1 / 2 ) , 𝑧 2 𝑖 superscript 1 𝑧 2 1 2 𝑖 superscript 1 𝑧 2 1 2 {\displaystyle{\displaystyle\operatorname{arccos}z=-2i\ln\left(\left(\frac{1+z% }{2}\right)^{1/2}+i\left(\frac{1-z}{2}\right)^{1/2}\right),}}
    0 references
    0 references
    z ( - , - 1 ) ( 1 , ) 𝑧 1 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,-1)\cup(1,\infty)}}
    0 references