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

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

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【作者】 裴柯柯龙品红刘金林甘加达兰 穆鲁古桑德拉姆斯

【Author】 PEI Ke-ke;LONG Pin-hong;LIU Jin-lin;GANGADHARAN Murugusundaramoorthy;School of Mathematics and Statistics, Ningxia University;Department of Mathematics, Yangzhou University;School of Advanced Sciences, Vellore Institute of Technology;

【通讯作者】 龙品红;

【机构】 School of Mathematics and Statistics, Ningxia UniversityDepartment of Mathematics, Yangzhou UniversitySchool of Advanced Sciences, Vellore Institute of Technology

【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 a2and a3and some Fekete-Szeg? functional inequalities.Besides,we also estimate the corresponding symmetric Toeplitz determinants.Furthermore,we point out some consequences and connections to these results above.

【Abstract】 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 a2and a3and some Fekete-Szeg? functional inequalities.Besides,we also estimate the corresponding symmetric Toeplitz determinants.Furthermore,we point out some consequences and connections to these results above.

【基金】 Supported by Natural Science Foundation of Ningxia (Grant No. 2023AAC03001);Natural Science Foundation of China (Grant No. 12261068)
  • 【文献出处】 Chinese Quarterly Journal of Mathematics ,数学季刊(英文版) , 编辑部邮箱 ,2024年04期
  • 【分类号】O174
  • 【下载频次】14
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