DLMF:27.10.E8 (Q8065): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12258 / rank
 
Normal rank
Property / Symbols used: Q12258 / qualifier
 
Defining formula:

g ⁢ ( m ) 𝑔 𝑚 {\displaystyle{\displaystyle g(m)}}

g(m)
Property / Symbols used: Q12258 / qualifier
 
xml-id: C27.S10.XMD2.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12260 / rank
 
Normal rank
Property / Symbols used: Q12260 / qualifier
 
Defining formula:

a k ⁢ ( m ) subscript 𝑎 𝑘 𝑚 {\displaystyle{\displaystyle a_{k}(m)}}

a_{k}(m)
Property / Symbols used: Q12260 / qualifier
 
xml-id: C27.S10.XMD4.m1adec

Latest revision as of 14:24, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:27.10.E8
No description defined

    Statements

    Defining formula
    a k ⁢ ( m ) = ∑ d | ( m , k ) g ⁢ ( d ) ⁢ f ⁢ ( k d ) ⁢ d k . subscript 𝑎 𝑘 𝑚 subscript divides 𝑑 𝑚 𝑘 𝑔 𝑑 𝑓 𝑘 𝑑 𝑑 𝑘 {\displaystyle{\displaystyle a_{k}(m)=\sum_{d\mathbin{|}\left(m,k\right)}g(d)f% \left(\frac{k}{d}\right)\frac{d}{k}.}}
    0 references
    DLMF id
    DLMF:27.10.E8
    0 references
    Symbols used
    Q12093
    Defining formula
    ( m , n ) 𝑚 𝑛 {\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}
    xml-id
    C27.S1.p2.t1.r3.m6abdec
    0 references
    Q12241
    Defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C27.S1.XMD1.m1bdec
    0 references
    Q12238
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C27.S1.XMD2.m1gdec
    0 references
    Q12239
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C27.S1.XMD3.m1ddec
    0 references
    Q12257
    Defining formula
    f ⁢ ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}
    xml-id
    C27.S10.XMD1.m1ddec
    0 references
    Q12258
    Defining formula
    g ⁢ ( m ) 𝑔 𝑚 {\displaystyle{\displaystyle g(m)}}
    xml-id
    C27.S10.XMD2.m1cdec
    0 references
    Q12260
    Defining formula
    a k ⁢ ( m ) subscript 𝑎 𝑘 𝑚 {\displaystyle{\displaystyle a_{k}(m)}}
    xml-id
    C27.S10.XMD4.m1adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8065&oldid=46688"