DLMF:4.38.E15 (Q1965): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
 
Property / Symbols used
 
Property / Symbols used: general inverse hyperbolic sine function / rank
 
Normal rank
Property / Symbols used: general inverse hyperbolic sine function / qualifier
 
test:

Arcsinh z multivalued-hyperbolic-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{Arcsinh}\NVar{z}}}

\Asinh@@{\NVar{z}}
Property / Symbols used: general inverse hyperbolic sine function / qualifier
 
xml-id: C4.S37.E1.m2adec

Latest revision as of 18:20, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.38.E15
No description defined

    Statements

    Arcsinh u ± Arcsinh v = Arcsinh ( u ( 1 + v 2 ) 1 / 2 ± v ( 1 + u 2 ) 1 / 2 ) , plus-or-minus multivalued-hyperbolic-inverse-sine 𝑢 multivalued-hyperbolic-inverse-sine 𝑣 multivalued-hyperbolic-inverse-sine plus-or-minus 𝑢 superscript 1 superscript 𝑣 2 1 2 𝑣 superscript 1 superscript 𝑢 2 1 2 {\displaystyle{\displaystyle\operatorname{Arcsinh}u\pm\operatorname{Arcsinh}v=% \operatorname{Arcsinh}\left(u(1+v^{2})^{1/2}\pm v(1+u^{2})^{1/2}\right),}}
    0 references
    0 references
    Arcsinh z multivalued-hyperbolic-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{Arcsinh}\NVar{z}}}
    C4.S37.E1.m2adec
    0 references