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

PEI Ke-ke, LONG Pin-hong, LIU Jin-lin, GANGADHARAN Murugusundaramoorthy

doi:10.13371/j.cnki.chin.q.j.m.2024.04.003

Chinese Quarterly Journal of Mathematics >

2024 , Vol. 39 >Issue 4: 366 - 378

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2024.04.003

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

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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

PEI Ke-ke (2004-), female, native of Puyang, Henan, undergraduate student of Ningxia University, engages in complex analysis and its application; LONG Pin-hong (1978-), male, native of Chenzhou, Hunan, associate professor of Ningxia University, engages in complex analysis and its application; LIU Jin-lin (1963-), male, native of Yangzhou, Jiangsu, professor of Yangtzhou University, engages in complex analysis and its application; GANGADHARAN Murugusundaramoorthy (1967-), male, native of Vellore, Tamilnadu, professor of Vellore Institute of Technology, engages in complex analysis.

Received date: 2023-12-26

Online published: 2024-12-30

Supported by

Supported by Natural Science Foundation of Ningxia (Grant No. 2023AAC03001) and Natural Science Foundation of China (Grant No. 12261068).

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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 a₂ and a₃ and some Fekete-Szegö functional
inequalities. Besides, we also estimate the corresponding symmetric Toeplitz determinants. Furthermore, we point out some consequences and connections to these results above.

Key words： Fekete-Szeg? ; problem; Symmetric Toeplitz determinant; Analytic function; ; q-differintegral operator

Cite this article

PEI Ke-ke, LONG Pin-hong, LIU Jin-lin, GANGADHARAN Murugusundaramoorthy . Fekete-Szegö Inequalities and the Symmetric Toeplitz Determinants for Certain Analytic Function Class Involving q-Differintegral Operator[J]. Chinese Quarterly Journal of Mathematics, 2024 , 39(4) : 366 -378 . DOI: 10.13371/j.cnki.chin.q.j.m.2024.04.003

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