A series of sequences convergent to Euler’s constant

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作者
Li-Jiang Jia
Bin Ge
Li-Li Liu
Yi Ran
机构
[1] Harbin Engineering University,School of Economics and Management
[2] Harbin Engineering University,Department of Applied Mathematics
关键词
Euler’s constant; Rate of convergence; Asymptotic expansion; 11Y60; 40A05; 40A20; 41A25; 34E05; 35J70;
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摘要
In this paper, using continued fraction, we provide a new quicker sequence convergent to Euler’s constant. We demonstrate the superiority of our new convergent sequences over DeTemple’s sequence, Mortici’s sequences, Vernescu’s sequence, and Lu’s sequence.
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