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论文类型：期刊论文

发表时间：2017-09-01

发表刊物：RESULTS IN MATHEMATICS

收录刊物：SCIE、Scopus

卷号：72

期号：1-2

页面范围：765-786

ISSN号：1422-6383

关键字：Factorial; continued fraction; asymptotic expansion; inequalities

摘要：In this paper, based on Stirling's formula and Gosper's formula, we establish some new continued fraction expansions and inequalities for n! into negative powers of a triangular number. Finally, to demonstrate the superiority of our new series over classical ones, some numerical computations are given.