DLMF:25.2.E5 (Q7600): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older edit
imported>Admin
imported>Admin
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
test:

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
Property / Symbols used
 
Property / Symbols used: Q12150 / rank
 
Normal rank
Property / Symbols used: Q12150 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12150 / qualifier
 
xml-id: C25.S1.XMD1.m1dec

Latest revision as of 12:21, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:25.2.E5
No description defined

    Statements

    test
    γ n = lim m → ∞ ⁡ ( ∑ k = 1 m ( ln ⁡ k ) n k - ( ln ⁡ m ) n + 1 n + 1 ) . Stieltjes-constants 𝑛 subscript → 𝑚 superscript subscript 𝑘 1 𝑚 superscript 𝑘 𝑛 𝑘 superscript 𝑚 𝑛 1 𝑛 1 {\displaystyle{\displaystyle\gamma_{n}=\lim_{m\to\infty}\left(\sum_{k=1}^{m}% \frac{(\ln k)^{n}}{k}-\frac{(\ln m)^{n+1}}{n+1}\right).}}
    0 references
    DLMF id
    DLMF:25.2.E5
    0 references
    Symbols used
    principal branch of logarithm function
    test
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q12150
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C25.S1.XMD1.m1dec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q7600&oldid=42531"