DLMF:5.7.E8 (Q2084): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10901 / rank
 
Normal rank
Property / Symbols used: Q10901 / qualifier
 
test:

ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}

\imagpart@@
Property / Symbols used: Q10901 / qualifier
 
xml-id: C1.S9.E2.m2adec

Revision as of 18:34, 1 January 2020

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DLMF:5.7.E8
No description defined

    Statements

    test
    ℑ ⁡ ψ ⁡ ( 1 + i ⁢ y ) = ∑ k = 1 ∞ y k 2 + y 2 . digamma 1 imaginary-unit 𝑦 superscript subscript 𝑘 1 𝑦 superscript 𝑘 2 superscript 𝑦 2 {\displaystyle{\displaystyle\Im\psi\left(1+\mathrm{i}y\right)=\sum_{k=1}^{% \infty}\frac{y}{k^{2}+y^{2}}.}}
    0 references
    DLMF id
    DLMF:5.7.E8
    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
    Q10901
    test
    ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}
    xml-id
    C1.S9.E2.m2adec
    0 references
     
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