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论文类型：期刊论文

发表时间：2018-05-01

发表刊物：RAMANUJAN JOURNAL

收录刊物：SCIE、Scopus

卷号：46

期号：1

页面范围：119-125

ISSN号：1382-4090

关键字：Continued fraction; Approximation; Rate of convergence; Inequalities; Gamma function

摘要：The main objective of this paper is to propose a product approximation for the Gamma function in the form of continued fraction, via the Tri-gamma function. The importance of this new formula is that the convergence of the corresponding asymptotic series is faster than other recently discovered asymptotic series, and some new inequalities related to the new formula are also established.