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    鲁大伟

    • 教授     博士生导师 硕士生导师
    • 任职 : 统计与金融研究所所长
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:数学科学学院
    • 学科:概率论与数理统计. 金融数学与保险精算
    • 办公地点:数学楼512

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    A new continued fraction approximation and inequalities for the Gamma function via the Tri-gamma function

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      发布时间:2019-03-12

      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:Scopus、SCIE

      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.