|本期目录/Table of Contents|

[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):110-115.
　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):110-115.
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Ramanujan常数与Beta函数的比较()
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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:
110-115
栏目:
出版日期:
2017-01-10

文章信息/Info

Title:
Comparisons Between the Ramanujan Constant and Beta Function
文章编号:
1673-3851 (2017) 01-0110-06
作者:
裘松良; 李晴晴; 王晓宇
浙江理工大学理学院，杭州 310018
Author(s):
QIU Songliang;  LI Qingqing;  WANG Xiaoyu
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
Ramanujan常数; psi和beta函数; 单调性; 凹凸性; 上下界
分类号:
O156.4
文献标志码:
A
摘要:
给出了由Ramanujan 常数R(a)=-2γ-ψ(a)-ψ(1-a)和Beta函数B(a,1-a)=π/sin(πa)定义的一些组合的单调性与凹凸性，获得了R(a)-B(a,1-a)的一些渐近精确的上下界，从而深入揭示了函数R(a)与B(a,1-a)的大小关系，并改进了R(a)的一些已知的相关结论。

参考文献/References:

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［10］QIU S L. Grtzsch ring and Ramanujans modular equations［J］. Acta Math Sinica,2000,43(2)：283-290.
［11］WANG M K, CHU Y M, QIU S L.Sharp bounds for generalized elliptic integrals of the first kind［J］. J Math Anal Appl,2015,429：744-757.
［12］QIU S L, FENG B P. Some properties of the Ramanujan constant［J］. J of Hangzhou Dianzi Univ,2007,27(3)：88-91.
［13］ZHOU P G, QIU S L, TU G Y, et al. Some properties of the Ramanujan constant［J］. J of Zhejiang Sci-Tech Univ,2010,27(5)：835-841.

相似文献/References:

[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.
　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.

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)
Introdu ction of the first anthor： 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