DLMF:32.8.E5 (Q9353): Difference between revisions

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‎Changed an Item: Add constraint
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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 14:03, 2 January 2020

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DLMF:32.8.E5
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    Statements

    Defining formula
    w ⁢ ( z ; n ) = d d z ⁡ ( ln ⁡ ( Q n - 1 ⁢ ( z ) Q n ⁢ ( z ) ) ) , 𝑤 𝑧 𝑛 derivative 𝑧 subscript 𝑄 𝑛 1 𝑧 subscript 𝑄 𝑛 𝑧 {\displaystyle{\displaystyle w(z;n)=\frac{\mathrm{d}}{\mathrm{d}z}\left(\ln% \left(\frac{Q_{n-1}(z)}{Q_{n}(z)}\right)\right),}}
    0 references
    DLMF id
    DLMF:32.8.E5
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
     
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