Poisson distribution on a subclass of analytic functions

Articles in Press

Document Type : Research Paper

Authors
Eman Omar Aletein
Basem Aref Frasin
Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan
10.22075/ijnaa.2025.38605.5517
Abstract
In this paper, we find a necessary and sufficient condition, an inclusion relation for the Poisson distribution series $F(m,z)$ to be in the class $\mathcal{G}(\alpha,\beta,\epsilon)$ of analytic functions with negative coefficients. Further, we consider the integral operator $G(m,z)={\displaystyle \int \limits_{0}^{z}}\frac{F(m,t)}{t}dt$ to be in the above class. Several corollaries and consequences of the main results are also considered.
Keywords
Analytic functions
Hadamard product
Poisson distribution series
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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 29 August 2026

  • Receive Date 09 August 2025
  • Revise Date 11 December 2025
  • Accept Date 22 December 2025