A SURVEY FOR GENERALIZED TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS

被引：12
|
作者：
Yin, Li [1 ]
Huang, Li-Guo [1 ]
Wang, Yong-Li [2 ]
Lin, Xiu-Li [3 ]
机构：
[1] Binzhou Univ, Coll Sci, Binzhou City 256603, Shandong, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[3] Qufu Normal Univ, Coll Math Sci, Qufu City 273165, Shandong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Generalized trigonometric and hyperbolic functions; inequalities; generalized elliptic integrals; hypergeometric function; generalized convexity and concavity; COMPLETE ELLIPTIC INTEGRALS; TURAN TYPE INEQUALITIES; CONVEXITY;
D O I：
10.7153/jmi-2019-13-58
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The generalized trigonometric functions which have a short history, were introduced by Lindqvist two decades ago. Since 2012, many mathematician began to study their classical inequalities, general convexity and concavity, multiple-angle formulas and parameter convexity and concavity. A number of results have been obtained. This is a survey. Some new refinements, generalizations, applications, and related problems ate summarized.
引用
收藏
页码：833 / 854
页数：22
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