|本期目录/Table of Contents|

[1]裘松良,王晓宇,李晴晴.Ramanujan常数的级数展开与上下界[J].浙江理工大学学报,2017,37-38(自科1):104-109.
　QIU Songliang,WANG Xiaoyu,LI Qingqing.Series Expansions and Bounds of the Ramanujan Constant[J].Journal of Zhejiang Sci-Tech University,2017,37-38(自科1):104-109.
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Ramanujan常数的级数展开与上下界()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第37-38卷
期数:
2017年自科1期
页码:
104-109
栏目:
出版日期:
2017-01-10

文章信息/Info

Title:
Series Expansions and Bounds of the Ramanujan Constant
文章编号:
1673-3851 (2017) 01-0104-06
作者:
裘松良; 王晓宇; 李晴晴
浙江理工大学理学院，杭州 310018
Author(s):
QIU Songliang;  WANG Xiaoyu;  LI Qingqing
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
Ramanujan常数; psi函数; 级数展开; 单调性与凹凸性; 不等式
分类号:
O156.4
文献标志码:
A
摘要:
根据不同的应用需求，给出了Ramanujan常数R(a)=-2γ-ψ(a)-ψ(1-a)的几类级数展开式、R(a)与多项式的一些组合的单调性和凹凸性，并利用这些结果获得了R(a)的渐近精确的上下界。运用这些级数展开式，关于R(a)的一些已知结果很容易得到改进。此外还给出了Riemann zeta函数满足的几个恒等式。

参考文献/References:

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相似文献/References:

[1]裘松良,李晴晴,王晓宇.Ramanujan常数与Beta函数的比较[J].浙江理工大学学报,2017,37-38(自科1):110.
　QIU Songliang,LI Qingqing,WANG Xiaoyu.Comparisons Between the Ramanujan Constant and Beta Function[J].Journal of Zhejiang Sci-Tech University,2017,37-38(自科1):110.

备注/Memo

备注/Memo:
Received Date： 2016-04-24
Published Online: 2016-12-09
Fund item： This research is supported by the National Natural Science Foundation of China (NSFC) (1171307)
Introduction of the first author： QIU Songliang (1957-), male, Fuyang, professor, research interests: complex analysis, quasiconformal theoery, special functions, Ramanujans moduar equations.
更新日期/Last Update: 2017-03-01