|本期目录/Table of Contents|

[1]裘松良,王婕,丁志栓.完全p-椭圆积分的一些性质[J].浙江理工大学学报,2020,43-44(自科六):852-857.
 QIU Songliang,WANG Jie,DING Zhishuan.Some properties of the complete p-elliptic integrals[J].Journal of Zhejiang Sci-Tech University,2020,43-44(自科六):852-857.
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完全p-椭圆积分的一些性质()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第43-44卷
期数:
2020年自科六期
页码:
852-857
栏目:
出版日期:
2020-11-27

文章信息/Info

Title:
Some properties of the complete p-elliptic integrals
文章编号:
1673-3851 (2020) 11-0852-06
作者:
裘松良王婕丁志栓
浙江理工大学理学院,杭州 310018
Author(s):
QIU Songliang WANG Jie DING Zhishuan
School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
完全p-椭圆积分广义三角函数单调性不等式凹凸性
分类号:
O174-6
文献标志码:
A
摘要:
通过研究由完全 p-椭圆积分 p(r)和 p(r) 以及初等函数的适当组合的单调性等性质,揭示了完全 p-椭圆积分的一些性质,并将完全椭圆积分的一些有关单调性和凹凸性的结果推广到完全 p-椭圆积分 p(r)和 p(r)。

参考文献/References:

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[11] Tu G Y, Qiu S L. Generalized Elliptic Integrals and the Properties of the Solutions of Ramanujan Modular Equations[D]. Hangzhou: Zhejiang SciTech University, 2009: 17-19.
[12] 赵叶华. 广义椭圆积分的一些性质[D]. 杭州: 杭州电子科技大学, 2004: 12-13.
[13] Ma X Y, Qiu S L, Tu G Y. Generalized Grtzsch ring function and generalized elliptic integrals[J]. Applied Mathematics: A Journal of Chinese Universities, 2016, 31(4): 458-468.
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相似文献/References:

[1]钟根红,李林钟,马晓艳.广义三角函数与双曲函数的Wilker-Huygens型不等式[J].浙江理工大学学报,2019,41-42(自科一):118.
 ZHONG Genhong,LI Linzhong,MA Xiaoyan.Wilker Huygens inequalities involving generalized trigonometric function and hyperbolic function[J].Journal of Zhejiang Sci-Tech University,2019,41-42(自科六):118.

备注/Memo

备注/Memo:
收稿日期:2020-07-01
Published Online:2020-09-03
基金项目: This research is supported by the NSF ofP. R. China (Grant No. 11771400)
作者简介:QIU Songliang (1957- ),male, Fuyang, Zhejiang, Professor; research interests: quasiconformal theory, special functions, Ramanuian’s modular equations, etc. E-mail: sl_qiu@zstu.edu.cn
更新日期/Last Update: 2020-11-05