MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS

doi:10.1007/s10473-019-0520-z

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (5): 1440-1450.doi: 10.1007/s10473-019-0520-z

MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS

王淼坤¹, 张稳², 褚玉明³

1. Department of Mathematics, Huzhou University, Huzhou 313000, China;
2. Friedman Brain Institute, Icahn School of Medicine at Mount Sinai, New York, NY 10029, USA;
3. College of Science, Hunan City University, Yiyang 313000, China

收稿日期:2016-03-29 修回日期:2019-01-03 出版日期:2019-10-25 发布日期:2019-11-11
通讯作者: Yuming CHU E-mail:chuyuming@zjhu.edu.cn
作者简介:Miaokun WANG,E-mail:wmk000@126.com;Wen ZHANG,E-mail:zhang.wen81@gmail.com
基金资助:
This research was supported by the Natural Science Foundation of China (11701176, 61673169, 11301127, 11626101, 11601485), and the Science and Technology Research Program of Zhejiang Educational Committee (Y201635325).

MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS

Miaokun WANG¹, Wen ZHANG², Yuming CHU³

1. Department of Mathematics, Huzhou University, Huzhou 313000, China;
2. Friedman Brain Institute, Icahn School of Medicine at Mount Sinai, New York, NY 10029, USA;
3. College of Science, Hunan City University, Yiyang 313000, China

Received:2016-03-29 Revised:2019-01-03 Online:2019-10-25 Published:2019-11-11
Contact: Yuming CHU E-mail:chuyuming@zjhu.edu.cn
Supported by:
This research was supported by the Natural Science Foundation of China (11701176, 61673169, 11301127, 11626101, 11601485), and the Science and Technology Research Program of Zhejiang Educational Committee (Y201635325).

摘要/Abstract

摘要： We establish the monotonicity and convexity properties for several special functions involving the generalized elliptic integrals, and present some new analytic inequalities.

关键词: Gaussian hypergeometric function, generalized elliptic integrals, convexity, inequality

Abstract: We establish the monotonicity and convexity properties for several special functions involving the generalized elliptic integrals, and present some new analytic inequalities.

Key words: Gaussian hypergeometric function, generalized elliptic integrals, convexity, inequality

中图分类号:

33E05

王淼坤, 张稳, 褚玉明. MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS[J]. 数学物理学报(英文版), 2019, 39(5): 1440-1450.

Miaokun WANG, Wen ZHANG, Yuming CHU. MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS[J]. Acta mathematica scientia,Series B, 2019, 39(5): 1440-1450.

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MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS

MONOTONICITY, CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS

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