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Formula:8293

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Digital Library of Mathematical Functions ID 25.2.E5

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).}}


Constraint(s)

Symbols List

  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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