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

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Property / Symbols used
 
Property / Symbols used: Q12572 / rank
Normal rank
 
Property / Symbols used: Q12572 / qualifier
test:

Q n ⁢ ( z ) subscript 𝑄 𝑛 𝑧 {\displaystyle{\displaystyle Q_{n}(z)}}

Q_{n}(z)
 
Property / Symbols used: Q12572 / qualifier
xml-id: C32.S8.XMD1.m1dec
 

Latest revision as of 13:03, 2 January 2020

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DLMF:32.8.E5
No description defined

    Statements

    test
    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 $$x$$
    test
    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
    test
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q12571
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C32.S1.XMD2.m1dec
    0 references
    Q12523
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1ddec
    0 references
     
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