Work

A study of analytic functions along with Poisson distribution

Year: 2025

Type: article

Abstract: In this paper, we introduce some new families of analytic functions by using Hadamard product while keeping conic like domains in view. Like the area theorem, we determine sufficient conditions as well as characterizations of these functions. Furthermore, we develop a connection between Poisson distribution series whose coefficients are probabilities of some events occurring in a fixed duration of time or space under certain conditions and some subclasses of analytic functions. To be more precise, we investigate such connections with the classes of analytic functions with complex as well as non-negative coefficients by determining sufficient conditions along with characterizations of functions involving Poisson distribution and its related variants.

Source: Applied Mathematics in Science and Engineering

DOI: 10.1080/27690911.2025.2461122

Authors: Muhammad Ashfaq, Afis Saliu, Syed Zakar Hussain Bukhari, Asma Munir

Institutions: Mirpur University of Science and Technology, University of the Gambia

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407242261

FWCI:

Cites: 20

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Related to: 10