DLMF:2.10.E12 (Q999)

From DRMF
Revision as of 12:34, 29 December 2019 by Admin (talk | contribs) (‎Created a new Item: Wikidata Toolkit example test item creation)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:2.10.E12
No description defined

    Statements

    Defining formula
    | S ⁢ ( α , β , n ) | ≤ ∑ j = 1 n - 1 j α = O ⁡ ( 1 ) , O ⁡ ( ln ⁡ n ) ,  or  ⁢ O ⁡ ( n α + 1 ) , formulae-sequence 𝑆 𝛼 𝛽 𝑛 superscript subscript 𝑗 1 𝑛 1 superscript 𝑗 𝛼 Big-O 1 Big-O 𝑛  or  Big-O superscript 𝑛 𝛼 1 {\displaystyle{\displaystyle|S(\alpha,\beta,n)|\leq\sum_{j=1}^{n-1}j^{\alpha}=% O\left(1\right),\;O\left(\ln n\right),\text{ or }O\left(n^{\alpha+1}\right),}}
    0 references
    DLMF id
    DLMF:2.10.E12
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q999&oldid=6999"