DLMF:5.7.E7 (Q2083)

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DLMF:5.7.E7
No description defined

    Statements

    test
    ψ ⁡ ( z + 1 2 ) - ψ ⁡ ( z 2 ) = 2 ⁢ ∑ k = 0 ∞ ( - 1 ) k k + z . digamma 𝑧 1 2 digamma 𝑧 2 2 superscript subscript 𝑘 0 superscript 1 𝑘 𝑘 𝑧 {\displaystyle{\displaystyle\psi\left(\frac{z+1}{2}\right)-\psi\left(\frac{z}{% 2}\right)=2\sum_{k=0}^{\infty}\frac{(-1)^{k}}{k+z}.}}
    0 references
    DLMF id
    DLMF:5.7.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.m2acdec
    0 references
    Q11279
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C5.S1.XMD4.m1fdec
    0 references
    Q11273
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C5.S1.XMD7.m1edec
    0 references
     
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