Research article

The Fekete-Szegö type inequalities for certain subclasses analytic functions associated with petal shaped region

  • Received: 05 December 2020 Accepted: 17 March 2021 Published: 01 April 2021
  • MSC : 30C45, 30C50

  • In the article we introduce several new subclasses of analytic functions associated with pedal shaped functions. By using differential subordination and convolution operator theory, we obtain the bound estimations of the coefficients $ a_2 $ and $ a_3 $, and the logarithmic coefficients $ d_1 $ and $ d_2 $ as well as Fekete-Szegö type functional inequalities for these subclasses.

    Citation: Pinhong Long, Xing Li, Gangadharan Murugusundaramoorthy, Wenshuai Wang. The Fekete-Szegö type inequalities for certain subclasses analytic functions associated with petal shaped region[J]. AIMS Mathematics, 2021, 6(6): 6087-6106. doi: 10.3934/math.2021357

    Related Papers:

  • In the article we introduce several new subclasses of analytic functions associated with pedal shaped functions. By using differential subordination and convolution operator theory, we obtain the bound estimations of the coefficients $ a_2 $ and $ a_3 $, and the logarithmic coefficients $ d_1 $ and $ d_2 $ as well as Fekete-Szegö type functional inequalities for these subclasses.



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