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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：225-238

ISSN号：1422-6383

关键字：Gamma function; Psi function; continued fraction; rate of convergence; inequalities

摘要：In this paper, based on continued fractions, some faster asymptotic formulas of gamma, psi and psi's derivative functions are given. Then, we provide some relevant inequalities. Finally, in order to demonstrate that our new asymptotic formulas have superiority, some numerical computations are also given.