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arXiv · 2306.11329

The asymptotic power series of three kinds of sequences

Yong-Guo Shi
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Abstract

We present a general method to obtain asymptotic power series for three kinds of sequences. And we give recurrence relations for determining the coefficients of asymptotic power series for these sequences. As applications, we show how these theoretical results can be used to deduce approximation formulas for some well-known sequences and some integrals with a parameter.

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Yong-Guo Shi. 2023-06-20. The asymptotic power series of three kinds of sequences. https://arxiv.org/abs/2306.11329

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