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arXiv · 1407.5567

A New Effective Asymptotic Formula for the Stieltjes Constants

Lazhar Fekih-Ahmed
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Abstract

We derive a new integral formula for the Stieltjes constants. The new formula permits easy computations as well as an exact approximate asymptotic formula. Both the sign oscillations and the leading order of growth are provided. The formula can also be easily extended to generalized Euler constants.

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Lazhar Fekih-Ahmed. 2014-07-21. A New Effective Asymptotic Formula for the Stieltjes Constants. https://arxiv.org/abs/1407.5567

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