DLMF:4.6.E3 (Q1572): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
Defining formula:

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.m2abdec

Revision as of 18:08, 1 January 2020

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DLMF:4.6.E3
No description defined

    Statements

    Defining formula
    ln ⁡ z = ( z - 1 ) - 1 2 ⁢ ( z - 1 ) 2 + 1 3 ⁢ ( z - 1 ) 3 - ⋯ , 𝑧 𝑧 1 1 2 superscript 𝑧 1 2 1 3 superscript 𝑧 1 3 ⋯ {\displaystyle{\displaystyle\ln z=(z-1)-\tfrac{1}{2}(z-1)^{2}+\tfrac{1}{3}(z-1% )^{3}-\cdots,}}
    0 references
    DLMF id
    DLMF:4.6.E3
    0 references
    constraint
    z ≠ 0 𝑧 0 {\displaystyle{\displaystyle z\neq 0}}
    0 references
    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2abdec
    0 references
     
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