Fekete-SzegöInequalities and the Symmetric Toeplitz Determinants for Certain Analytic Function Class Involving q-Differintegral Operator  

涉及q-微分积分算子的某些解析函数类的Fekete-Szegö不等式与对称Toeplitz行列式

作　　者：PEI Ke-ke LONG Pin-hong LIU Jin-lin GANGADHARAN Murugusundaramoorthy 裴柯柯;龙品红;刘金林;甘加达兰;穆鲁古桑德拉姆斯

机构地区：[1]School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China [2]Department of Mathematics,Yangzhou University,Yangzhou 225009,China [3]School of Advanced Sciences,Vellore Institute of Technology,Vellore 632014,India

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第4期366-378,共13页数学季刊（英文版）

基　　金：Supported by Natural Science Foundation of Ningxia(Grant No.2023AAC03001);Natural Science Foundation of China(Grant No.12261068).

摘　　要：In this paper,we introduce and investigate certain subclass of analytic and univalent functions involving q-differintegral operator.For this function class,we give the bound estimates of the coefficients a2 and a3 and some Fekete-Szegöfunctional inequalities.Besides,we also estimate the corresponding symmetric Toeplitz determinants.Furthermore,we point out some consequences and connections to these results above.

关 键 词：Fekete-Szegöproblem Symmetric Toeplitz determinant Analytic function q-differintegral operator 

分 类 号：O174.51[理学—数学]