Article
Kyungpook Mathematical Journal 2024; 64(1): 47-55
Published online March 31, 2024
Copyright © Kyungpook Mathematical Journal.
A Study on Two Subclasses of Analytic and Univalent Functions with Negative Coefficients Involving the Poisson Distribution Series
Abdul Moneim Yousof Lashin∗, Abeer Omard Ahmad Badghaish, Fayzah Awad Alshehri
Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Kingdom of Saudi Arabia
Department of Mathematics Faculty of Science, Mansoura University, Mansoura, 35516, Egypt
e-mail : alasheen@kau.edu.sa; aylashin@mans.edu.eg
Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Kingdom of Saudi Arabia
e-mail : abadghaish@kau.edu.sa
Department of Mathematics, Faculty of Science, Bishha University, Bishha, King- dom of Saudi Arabia
e-mail : fayeed@ub.edu.sa
Received: June 6, 2023; Revised: October 20, 2023; Accepted: November 3, 2023
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: The Poisson distribution series, Analytic functions, Univalent functions, Convex funcions, Coefficient inequalities