关于对称点的特定子类双单叶函数的泛函估计  

Functional Estimates for Certain Subclass of Bi-univalent Functions with Respect to a Symmetric Point

作　　者：龙品红 李星 汪文帅 LONG Pinhong;LI Xing;WANG Wenshuai(School of Mathematics and Statistics,Ningxia University,Yinchuan,Ningxia,750021,P.R.China)

机构地区：[1]宁夏大学数学统计学院,银川宁夏750021

出　　处：《数学进展》2021年第3期369-382,共14页Advances in Mathematics（China）

基　　金：Supported by Science and Technology Research Projects of the Higher Education Institutions of Ningxia(No.NGY2017011);NSFC(Nos.11561055,11762017)。

摘　　要：本文研究了与Srivastava-Attiya算子有关的解析、双单叶函数类∑的子类S_(∑_(η))^(*b)(μ,λ;Φ),接着给出了 Fekete-Szegö泛函不等式对应估计以及系数a2和a3的有界的对应估计,进而得到关于对称点函数子类S_(∑)^(*)(λ;Φ)的第二Hankel行列式.还诠释了与以前已知结论的因果关系和联系.The subclass S_(∑_(η))^(*b)(μ,λ;Φ) of the function class ∑ of analytic and bi-univalent functions associated with the Srivastava-Attiya operator is investigated,and the corresponding estimates of Fekete-Szegö functional inequalities as well as the bound estimates of the coefficient a2 and a3 are given.Moreover,the second Hankel determinants for the subclass S_(∑)^(*)(λ;Φ) with respect to a symmetric point are obtained.Besides,some consequences and connections to some earlier known results are interpreted.

关 键 词：Fekete-Szegö问题 第二Hankel行列式 双单叶函数 Hurwitz-Lerch zeta函数 Srivastava-Attiya算子 

分 类 号：O174.51[理学—数学] O177.2[理学—基础数学]