The asymptotic power series of three kinds of sequences

2023/06/20 by Yong-Guo Shi, Shi, Yong-Guo
Computer Science · Mathematics · #41A60 #45M05 #Advanced Mathematical Theories #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Wireless Communication Networks Research

paper · pdf · doi:10.48550/arxiv.2306.11329

openalex publication_date 2023/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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