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DLMF:27.10.E8 - MaRDI portal

DLMF:27.10.E8 (Q8758)

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DLMF:27.10.E8
No description defined

    Statements

    DLMF 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
    Symbols used
    Q12096
    DLMF defining formula
    ( m , n ) 𝑚 𝑛 {\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}
    xml-id
    C27.S1.p2.t1.r3.m6abdec
    0 references
    positive integer
    DLMF defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C27.S1.XMD1.m1bdec
    0 references
    positive integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C27.S1.XMD2.m1gdec
    0 references
    positive integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C27.S1.XMD3.m1ddec
    0 references
    function
    DLMF defining formula
    f ⁢ ( n ) 𝑓 𝑛 {\displaystyle{\displaystyle f(n)}}
    xml-id
    C27.S10.XMD1.m1ddec
    0 references
    periodic function
    DLMF defining formula
    g ⁢ ( m ) 𝑔 𝑚 {\displaystyle{\displaystyle g(m)}}
    xml-id
    C27.S10.XMD2.m1cdec
    0 references
    coefficients
    DLMF defining formula
    a k ⁢ ( m ) subscript 𝑎 𝑘 𝑚 {\displaystyle{\displaystyle a_{k}(m)}}
    xml-id
    C27.S10.XMD4.m1adec
    0 references

    Identifiers

     
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