Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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FEKETE-SZEGÖ INEQUALITIES OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS AND APPLICATIONS TO SOME DISTRIBUTION SERIES

  • SOUPRAMANIEN, T. (Department of Mathematics, IFET College of Engineering) ;
  • RAMACHANDRAN, C. (Department of Mathematics, University College of Engineering Villupuram, Anna University) ;
  • CHO, NAK EUN (Department of Applied Mathematics, College of Natural Sciences, Pukyong National University)
  • Received : 2021.04.12
  • Accepted : 2021.06.07
  • Published : 2021.09.30
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Abstract

The aim of this article is to estimate the coefficient bounds of certain subclasses of analytic functions. We claim that this is a novel and unique effort in combining the coefficient functional along with the new domains and the probability distributions which have not been found or are available in the literature of coefficients bounds. Here the authors analyze these bounds in the special domains associated with exponential function and sine function. Further we obtain Fekete-Szegö inequalities for the defined subclasses of analytic functions defined through Poisson distribution series and Pascal distribution series.

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Acknowledgement

The authors would like to thank the referees for their helpful comments and suggestions.

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