DLMF:5.15.E7 (Q2176): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11279 / rank
 
Normal rank
Property / Symbols used: Q11279 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11279 / qualifier
 
xml-id: C5.S1.XMD4.m1bdec

Revision as of 00:08, 2 January 2020

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DLMF:5.15.E7
No description defined

    Statements

    test
    ψ ( n ) ⁡ ( m ⁢ z ) = 1 m n + 1 ⁢ ∑ k = 0 m - 1 ψ ( n ) ⁡ ( z + k m ) . digamma 𝑛 𝑚 𝑧 1 superscript 𝑚 𝑛 1 superscript subscript 𝑘 0 𝑚 1 digamma 𝑛 𝑧 𝑘 𝑚 {\displaystyle{\displaystyle{\psi^{(n)}}\left(mz\right)=\frac{1}{m^{n+1}}\sum_% {k=0}^{m-1}{\psi^{(n)}}\left(z+\frac{k}{m}\right).}}
    0 references
    DLMF id
    DLMF:5.15.E7
    0 references
    Symbols used
    psi (or digamma) function
    test
    ψ ⁡ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E2.m2addec
    0 references
    Q11276
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C5.S1.XMD2.m1dec
    0 references
    Q11274
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C5.S1.XMD3.m1edec
    0 references
    Q11279
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C5.S1.XMD4.m1bdec
    0 references
     
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