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

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12571 / rank
 
Normal rank
Property / Symbols used: Q12571 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12571 / qualifier
 
xml-id: C32.S1.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12523 / rank
 
Normal rank
Property / Symbols used: Q12523 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12523 / qualifier
 
xml-id: C32.S1.XMD4.m1ddec
Property / Symbols used
 
Property / Symbols used: Q12572 / rank
 
Normal rank
Property / Symbols used: Q12572 / qualifier
 
Defining formula:

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 14:03, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:32.8.E5
No description defined

    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
    Q12571
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C32.S1.XMD2.m1dec
    0 references
    Q12523
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1ddec
    0 references
    Q12572
    Defining formula
    Q n ⁢ ( z ) subscript 𝑄 𝑛 𝑧 {\displaystyle{\displaystyle Q_{n}(z)}}
    xml-id
    C32.S8.XMD1.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9353&oldid=43013"