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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:数学科学学院,π空间,512室

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    Continued fraction approximations and inequalities for the gamma function by Burnside

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    论文类型:期刊论文

    发表时间:2017-02-01

    发表刊物:RAMANUJAN JOURNAL

    收录刊物:SCIE

    卷号:42

    期号:2

    页面范围:491-500

    ISSN号:1382-4090

    关键字:Stirling's formula; Burnside's formula; Continued fraction; Double inequality; Speed of convergence

    摘要:In this paper, based on the Burnside's formula, some accurate approximation and double inequality for the gamma function are established. Finally, for demonstrating the superiority of our new series over the Burnside's formula and other classical or recently discovered asymptotic series, some numerical computations are provided.