Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A Study on Two Subclasses of Analytic and Univalent Functions with Negative Coefficients Involving the Poisson Distribution Series

  • Abdul Moneim Yousof Lashin (Department of Mathematics, Faculty of Science, King Abdulaziz University, Department of Mathematics Faculty of Science, Mansoura University) ;
  • Abeer Omard Ahmad Badghaish (Department of Mathematics, Faculty of Science, King Abdulaziz University) ;
  • Fayzah Awad Alshehri (Department of Mathematics, Faculty of Science, Bishha University)
  • Received : 2023.06.06
  • Accepted : 2023.11.03
  • Published : 2024.03.31
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Abstract

This paper introduces two new subclasses of analytical functions with negative coefficients and derives coefficient estimates for these novel subclasses. Further, inclusion relations and necessary and sufficient conditions for the Poisson distribution series to belong to these subclasses are established.

Keywords

Acknowledgement

The authors thank the editor and referees for their helpful comments and suggestions that helped improve the paper's presentation.

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