On a Subclass of Starlike Functions related to Pascal and Poisson distributions

Authors

  • B. M. Algethami Faculty of Science, King Abdulaziz University,
  • A. Y. lashin Faculty of Science, King Abdulaziz UniversityT. https://orcid.org/0000-0002-0694-4358
  • Fatma Z. El-Emam Delta Higher Institute for Engineering and Technology, Mansoura

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.7014

Keywords:

The Passcal distribution series, The Poisson distribution series, analytic functions, univalent functions, starlike function, close-to-convex functions, coefficient inequalities, inclusion relations.

Abstract

This paper aims to derive coefficient conditions, inclusion relations, and the starlikeness condition for a specific subclass of analytic functions in the open unit disc. Additionally, it establishes the necessary and sufficient conditions for the Pascal and Poisson distributions to belong to this subclass.

Author Biographies

  • B. M. Algethami, Faculty of Science, King Abdulaziz University,

    Department of Mathematics

  • A. Y. lashin, Faculty of Science, King Abdulaziz UniversityT.

    Department of Mathematics

  • Fatma Z. El-Emam, Delta Higher Institute for Engineering and Technology, Mansoura

    Head of Basic Sciences Department

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Complex Analysis

License

Copyright (c) 2025 B. M. Algethami, A. Y. lashin, Fatma Z. El-Emam

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How to Cite

On a Subclass of Starlike Functions related to Pascal and Poisson distributions. (2025). European Journal of Pure and Applied Mathematics, 18(4), 7014. https://doi.org/10.29020/nybg.ejpam.v18i4.7014