DLMF:2.7.E6 (Q896): 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.m2adec

Revision as of 17:20, 1 January 2020

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DLMF:2.7.E6
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    Statements

    w 2 ( z ) = ( z - z 0 ) α 2 s = 0 s α 1 - α 2 b s ( z - z 0 ) s + c w 1 ( z ) ln ( z - z 0 ) , subscript 𝑤 2 𝑧 superscript 𝑧 subscript 𝑧 0 subscript 𝛼 2 superscript subscript 𝑠 0 𝑠 subscript 𝛼 1 subscript 𝛼 2 subscript 𝑏 𝑠 superscript 𝑧 subscript 𝑧 0 𝑠 𝑐 subscript 𝑤 1 𝑧 𝑧 subscript 𝑧 0 {\displaystyle{\displaystyle w_{2}(z)=(z-z_{0})^{\alpha_{2}}\sum_{% \begin{subarray}{c}s=0\\ s\neq\alpha_{1}-\alpha_{2}\end{subarray}}^{\infty}b_{s}(z-z_{0})^{s}+cw_{1}(z)% \ln\left(z-z_{0}\right),}}
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    DLMF:2.7.E6
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    z 𝐍 𝑧 𝐍 {\displaystyle{\displaystyle z\in\mathbf{N}}}
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    {\displaystyle{\displaystyle\in}}
    introduction.Sx4.p1.t1.r10.m2aadec
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    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2adec
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