Work

Characterization of p -valent q -starlike functions through Hadamard product and Poisson distribution

Year: 2025

Type: article

Abstract: This paper presents significant advancement in the study of multivalent functions by introducing three new subclasses of p-valent q-starlike functions, defined with respect to higher-order q-derivatives within the open unit disk of the complex plane (|z|<1). We utilized the Poisson distribution as a coefficient and applied the Hadmard product to derive several essential properties of these q-starlike functions, including distortion theorems and radius problems, particularly in case with negative coefficients. These findings enhance our understanding of the function behaviour and contribute to the broader mathematical discourse.

Source: Applied Mathematics in Science and Engineering

DOI: 10.1080/27690911.2025.2478040

Authors: Muhammad Uzair Shah, Bilal Khan, Manuela Oliveira, Serkan Araci

Institutions: East China Normal University, Henan Academy of Sciences, University of Évora, Hasan Kalyoncu University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408648679

FWCI: 8.875

Cites: 29

Cited by: 5

Related to: 10