DLMF:6.10.E7 (Q2284): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: psi (or digamma) function / rank
 
Normal rank
Property / Symbols used: psi (or digamma) function / qualifier
 
Defining formula:

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: Q11308 / rank
 
Normal rank
Property / Symbols used: Q11308 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11308 / qualifier
 
xml-id: C6.S1.XMD3.m1cdec

Latest revision as of 01:31, 2 January 2020

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DLMF:6.10.E7
No description defined

    Statements

    Defining formula
    a n = ( 2 ⁢ n + 1 ) ⁢ ( 1 - ( - 1 ) n + ψ ⁡ ( n + 1 ) - ψ ⁡ ( 1 ) ) , subscript 𝑎 𝑛 2 𝑛 1 1 superscript 1 𝑛 digamma 𝑛 1 digamma 1 {\displaystyle{\displaystyle a_{n}=(2n+1)\left(1-(-1)^{n}+\psi\left(n+1\right)% -\psi\left(1\right)\right),}}
    0 references
    DLMF id
    DLMF:6.10.E7
    0 references
    Symbols used
    psi (or digamma) function
    Defining formula
    ψ ⁡ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E2.m2adec
    0 references
    Q11308
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C6.S1.XMD3.m1cdec
    0 references
     
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