DLMF:32.10.E8 (Q9408): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12607 / rank
 
Normal rank
Property / Symbols used: Q12607 / qualifier
 
Defining formula:

τ n ⁢ ( z ) subscript 𝜏 𝑛 𝑧 {\displaystyle{\displaystyle\tau_{n}(z)}}

\tau_{n}(z)
Property / Symbols used: Q12607 / qualifier
 
xml-id: C32.S10.XMD5.m1dec

Latest revision as of 14:08, 2 January 2020

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DLMF:32.10.E8
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    Statements

    Defining formula
    w ⁢ ( z ; n + 1 2 ) = d d z ⁡ ( ln ⁡ ( τ n ⁢ ( z ) τ n + 1 ⁢ ( z ) ) ) , 𝑤 𝑧 𝑛 1 2 derivative 𝑧 subscript 𝜏 𝑛 𝑧 subscript 𝜏 𝑛 1 𝑧 {\displaystyle{\displaystyle w(z;n+\tfrac{1}{2})=\frac{\mathrm{d}}{\mathrm{d}z% }\left(\ln\left(\frac{\tau_{n}(z)}{\tau_{n+1}(z)}\right)\right),}}
    0 references
    DLMF id
    DLMF:32.10.E8
    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
    Q12571
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C32.S1.XMD2.m1bdec
    0 references
    Q12523
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1fdec
    0 references
    Q12607
    Defining formula
    τ n ⁢ ( z ) subscript 𝜏 𝑛 𝑧 {\displaystyle{\displaystyle\tau_{n}(z)}}
    xml-id
    C32.S10.XMD5.m1dec
    0 references
     
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