MONOTONICITY,CONVEXITY AND INEQUALITIES INVOLVING THE GENERALIZED ELLIPTIC INTEGRALS  

作　　者：Miaokun WANG Wen ZHANG Yuming CHU 王淼坤;张稳;褚玉明(Department of Mathematics, Huzhou University, Huzhou 313000, China;Friedman Brain Institute, Icahn School of Medicine at Mount Sinai, New York, NY 10029, USA;College of Science, Hunan City University, Yiyang 313000, China)

机构地区：[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

出　　处：《Acta Mathematica Scientia》2019年第5期1440-1450,共11页数学物理学报（B辑英文版）

基　　金：supported by the Natural Science Foundation of China(11701176,61673169,11301127,11626101,11601485);the Science and Technology Research Program of Zhejiang Educational Committee(Y201635325)

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

分 类 号：O[理学]