|本期目录/Table of Contents|

[1]裘松良,蔡传宇.Gamma函数和Psi函数的单调性与凹凸性[J].浙江理工大学学报,2018,39-40(自科1):108-112.
　QIU Songliang,CAI Chuanyu.Monotonicity and Convexity Properties of the Gamma and Psi Functions[J].Journal of Zhejiang Sci-Tech University,2018,39-40(自科1):108-112.
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Gamma函数和Psi函数的单调性与凹凸性()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第39-40卷
期数:
2018年自科1期
页码:
108-112
栏目:
出版日期:
2017-12-31

文章信息/Info

Title:
Monotonicity and Convexity Properties of the Gamma and Psi Functions
文章编号:
1673-3851 (2018) 01-0108-05
作者:
裘松良; 蔡传宇
浙江理工大学理学院，杭州 310018
Author(s):
QIU Songliang;  CAI Chuanyu
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
gamma function;  psi function;  monotonicity;  convexity;  inequality
分类号:
O174.6
文献标志码:
A
摘要:
给出了gamma函数Γ(x)的几个单调性和对数凹凸性，以及由Γ(x)、psi函数ψ(x)及其导数ψ′(x)和ψ″(x)定义的某种组合的单调性与凹凸性，并运用这些结果实质性地改进了关于Γ(x)和ψ(x)的几个已知结果。

参考文献/References:

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［16］ Qi F. Refinements of lower bounds for polygamma functions［J］. Proc Amer Math Soc,2013,141(3):1007-1015.
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相似文献/References:

[1]ZHAO Xue,QIU Song liang,CHEN Shi yong.Some Properties of Gamma, Beta and Psi Functions[J].浙江理工大学学报,2014,31-32(自科5):571.
　ZHAO Xue,QIU Song liang,CHEN Shi yong.Some Properties of Gamma, Beta and Psi Functions[J].Journal of Zhejiang Sci-Tech University,2014,31-32(自科1):571.

备注/Memo

备注/Memo:
收稿日期： 2017-06-13
网络出版日期： 2017-12-11
基金项目： This research is supported by the NSF of P. R. China (1171307)
作者简介： QIU Songliang(1957-), male, Fuyang, Zhejiang, professor, research interests: complex analysis, quasiconformal theoery, special functions, Ramanujan moduar equation.
更新日期/Last Update: 2018-03-13