DLMF:25.2.E5 (Q7600)

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DLMF:25.2.E5
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    Statements

    Defining formula
    γ n = lim m → ∞ ⁡ ( ∑ k = 1 m ( ln ⁡ k ) n k - ( ln ⁡ m ) n + 1 n + 1 ) . Stieltjes-constants 𝑛 subscript → 𝑚 superscript subscript 𝑘 1 𝑚 superscript 𝑘 𝑛 𝑘 superscript 𝑚 𝑛 1 𝑛 1 {\displaystyle{\displaystyle\gamma_{n}=\lim_{m\to\infty}\left(\sum_{k=1}^{m}% \frac{(\ln k)^{n}}{k}-\frac{(\ln m)^{n+1}}{n+1}\right).}}
    0 references
    DLMF id
    DLMF:25.2.E5
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    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
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