DLMF:2.6.E24 (Q849)

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DLMF:2.6.E24
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    Statements

    test
    lim ε → 0 ⁡ ⟨ t - s - 1 , ϕ ε ⟩ = ( - 1 ) s + 1 z s + 1 ⁢ ∑ k = 1 s 1 k + ( - 1 ) s z s + 1 ⁢ ln ⁡ z , subscript → 𝜀 0 distribution superscript 𝑡 𝑠 1 subscript italic-ϕ 𝜀 superscript 1 𝑠 1 superscript 𝑧 𝑠 1 superscript subscript 𝑘 1 𝑠 1 𝑘 superscript 1 𝑠 superscript 𝑧 𝑠 1 𝑧 {\displaystyle{\displaystyle\lim_{\varepsilon\to 0}\left\langle t^{-s-1},\phi_% {\varepsilon}\right\rangle=\frac{(-1)^{s+1}}{z^{s+1}}\sum_{k=1}^{s}\frac{1}{k}% +\frac{(-1)^{s}}{z^{s+1}}\ln z,}}
    0 references
    DLMF id
    DLMF:2.6.E24
    0 references
    Symbols used
    Q10905
    test
    ⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    xml-id
    C1.S16.SS1.p5.m5aidec
    0 references
     
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