DLMF:5.15.E5 (Q2174): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5abdec
Property / Symbols used
 
Property / Symbols used: Q11274 / rank
 
Normal rank
Property / Symbols used: Q11274 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11274 / qualifier
 
xml-id: C5.S1.XMD3.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11273 / rank
 
Normal rank
Property / Symbols used: Q11273 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11273 / qualifier
 
xml-id: C5.S1.XMD7.m1adec

Latest revision as of 01:07, 2 January 2020

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DLMF:5.15.E5
No description defined

    Statements

    ψ ( n ) ( z + 1 ) = ψ ( n ) ( z ) + ( - 1 ) n n ! z - n - 1 , digamma 𝑛 𝑧 1 digamma 𝑛 𝑧 superscript 1 𝑛 𝑛 superscript 𝑧 𝑛 1 {\displaystyle{\displaystyle{\psi^{(n)}}\left(z+1\right)={\psi^{(n)}}\left(z% \right)+(-1)^{n}n!z^{-n-1},}}
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    DLMF:5.15.E5
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    ψ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}
    C5.S2.E2.m2abdec
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5abdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C5.S1.XMD3.m1cdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C5.S1.XMD7.m1adec
    0 references