卷入特定积分算子的双单叶函数类q­-相似体的泛函不等式  

Functional Inequalities of qAnalog of Biunivalent Function Classes Involving a Particular Integral Operator

作　　者：买廷梅 龙品红 韩惠丽 贺福利[3] Mai Tingmei;Long Pinhong;Han Huili;He Fuli(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China;School of Mathematics and Computer Science,Ningxia Normal University,Guyuan 756000,China;School of Mathematics and Statistics,Central South University,Changsha 410083,China)

机构地区：[1]宁夏大学数学统计学院,银川750021 [2]宁夏师范学院数学与计算机学院,固原756000 [3]中南大学数学统计学院,长沙41083

出　　处：《数学理论与应用》2023年第1期85-99,共15页Mathematical Theory and Applications

基　　金：宁夏自然科学基金(Nos.2020AAC03066,2021AAC03028)项目;国家自然科学基金(No.11762016)项目资助。

摘　　要：本文研究在开单位圆盘中与参数α,β有关的一类积分算子I^(α)_(β)f(z),首先根据解析函数从属原理定义与该积分算子和q导算子有关的双单叶函数类H^(λ)_(Σ)(ϕ)和L^(λ)_(Σ)(ϕ),然后估算这两类双单叶解析函数的系数a_(2)和a_(3)的上界,并且得到相应的Fekete-Szegö不等式.In this paper a kind of integral operator I^(α)_(β)f(z)related to the parametersα,βin an open unit disk is investigated.Firstly,the biunivalent function classes H^(α,β)_(Σ_(q))(λ;ϕ)and L^(α,β)_(Σ_(q))(μ,λ;ϕ)involving this integral operator and the qderivative operator are defined by applying the subordination principle of analytic functions.Then,the upper bounds of the first two coefficients a_(2) and a_(3) of the two classes of biunivalent analytic functions are estimated,and the corresponding Fekete-Szegö inequalites for these classes are obtained.

关 键 词：q-导算子 双单叶函数 凸函数 星形函数 Fekete-Szegö不等式 

分 类 号：O177[理学—数学]