Chinese Quarterly Journal of Mathematics ›› 2024, Vol. 39 ›› Issue (4): 366-378.doi: 10.13371/j.cnki.chin.q.j.m.2024.04.003

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

  

  1. 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
  • Received:2023-12-26 Online:2024-12-30 Published:2024-12-30
  • Contact: LONG Pin-hong (1978-), male, native of Chenzhou, Hunan, associate professor of Ningxia University, engages in complex analysis and its application; E-mail:longph@nxu.edu.cn.
  • About author: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.
  • 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

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