Category:Definitions/Euler-Mascheroni Constant
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This category contains definitions related to Euler-Mascheroni Constant.
Related results can be found in Category:Euler-Mascheroni Constant.
The Euler-Mascheroni constant $\gamma$ is the real number that is defined as:
| \(\ds \gamma\) | \(:=\) | \(\ds \lim_{n \mathop \to +\infty} \paren {\sum_{k \mathop = 1}^n \frac 1 k - \int_1^n \frac 1 x \rd x}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \lim_{n \mathop \to +\infty} \paren {H_n - \ln n}\) |
where $\sequence {H_n}$ are the harmonic numbers and $\ln$ is the natural logarithm.
Pages in category "Definitions/Euler-Mascheroni Constant"
The following 5 pages are in this category, out of 5 total.