DLMF:8.21.E27 (Q2749): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10931 / rank
 
Normal rank
Property / Symbols used: Q10931 / qualifier
 
Defining formula:

∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}

\asympexp
Property / Symbols used: Q10931 / qualifier
 
xml-id: C2.S1.SS3.p1.m11aadec

Revision as of 14:20, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:8.21.E27
No description defined

    Statements

    Defining formula
    g ⁢ ( a , z ) ∼ z a - 1 ⁢ ∑ k = 0 ∞ ( - 1 ) k ⁢ ( 1 - a ) 2 ⁢ k + 1 z 2 ⁢ k + 1 . asymptotic-expansion 𝑔 𝑎 𝑧 superscript 𝑧 𝑎 1 superscript subscript 𝑘 0 superscript 1 𝑘 Pochhammer 1 𝑎 2 𝑘 1 superscript 𝑧 2 𝑘 1 {\displaystyle{\displaystyle g(a,z)\sim z^{a-1}\sum_{k=0}^{\infty}\frac{(-1)^{% k}{\left(1-a\right)_{2k+1}}}{z^{2k+1}}.}}
    0 references
    DLMF id
    DLMF:8.21.E27
    0 references
    Symbols used
    Q10759
    Defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1acdec
    0 references
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11aadec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2749&oldid=45979"