DLMF:4.6.E1 (Q1570): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
 
(2 intermediate revisions by the same user not shown)
Property / constraint
 

z - 1 𝑧 1 {\displaystyle{\displaystyle z\neq-1}}

z\neq-1
Property / constraint: z - 1 𝑧 1 {\displaystyle{\displaystyle z\neq-1}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
test:

ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2adec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1dec

Latest revision as of 17:08, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.6.E1
No description defined

    Statements

    ln ( 1 + z ) = z - 1 2 z 2 + 1 3 z 3 - , 1 𝑧 𝑧 1 2 superscript 𝑧 2 1 3 superscript 𝑧 3 {\displaystyle{\displaystyle\ln\left(1+z\right)=z-\tfrac{1}{2}z^{2}+\tfrac{1}{% 3}z^{3}-\cdots,}}
    0 references
    0 references
    z - 1 𝑧 1 {\displaystyle{\displaystyle z\neq-1}}
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1dec
    0 references