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

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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.

Fekete-Szegö problemSymmetric Toeplitz determinantAnalytic functionq-differintegral operator

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

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School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China

Department of Mathematics,Yangzhou University,Yangzhou 225009,China

School of Advanced Sciences,Vellore Institute of Technology,Vellore 632014,India

2024

数学季刊(英文版)
河南大学

数学季刊(英文版)

影响因子:0.201
ISSN:1002-0462
年,卷(期):2024.39(4)