DLMF:5.15.E1 (Q2170): Difference between revisions

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Property / constraint
 

z 0 , - 1 , - 2 , 𝑧 0 1 2 {\displaystyle{\displaystyle z\neq 0,-1,-2,\dots}}

z\neq 0,-1,-2,\dots
Property / constraint: z 0 , - 1 , - 2 , 𝑧 0 1 2 {\displaystyle{\displaystyle z\neq 0,-1,-2,\dots}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: psi (or digamma) function / rank
 
Normal rank
Property / Symbols used: psi (or digamma) function / qualifier
 
test:

ψ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}

\digamma@{\NVar{z}}
Property / Symbols used: psi (or digamma) function / qualifier
 
xml-id: C5.S2.E2.m2adec
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.m1dec
Property / Symbols used
 
Property / Symbols used: Q11273 / rank
 
Normal rank
Property / Symbols used: Q11273 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11273 / qualifier
 
xml-id: C5.S1.XMD7.m1dec

Latest revision as of 00:07, 2 January 2020

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DLMF:5.15.E1
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    Statements

    ψ ( z ) = k = 0 1 ( k + z ) 2 , diffop digamma 1 𝑧 superscript subscript 𝑘 0 1 superscript 𝑘 𝑧 2 {\displaystyle{\displaystyle\psi'\left(z\right)=\sum_{k=0}^{\infty}\frac{1}{(k% +z)^{2}},}}
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    z 0 , - 1 , - 2 , 𝑧 0 1 2 {\displaystyle{\displaystyle z\neq 0,-1,-2,\dots}}
    0 references
    ψ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}
    C5.S2.E2.m2adec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C5.S1.XMD4.m1dec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C5.S1.XMD7.m1dec
    0 references