Work

Hankel and Toeplitz Determinants for q ‐Starlike Functions Involving a q ‐Analog Integral Operator and q ‐Exponential Function

Year: 2025

Type: article

Abstract: This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q ‐starlike functions defined by a q ‐analog integral operator, which is a more general form of the q ‐Srivastava‐Attiya operator, and the q ‐exponential function e q ( z ). The well‐known class of subordination starlike functions associated with the exponential function is used to construct this subordination q ‐starlike class. The investigation of Hankel determinants and the Toeplitz determinants results from the analysis of this subordination class. All of these boundaries have been demonstrated to be sharp. Our main findings are inspired by some special cases that are also discussed in this study.

Source: Journal of Function Spaces

DOI: 10.1155/jofs/2771341

Authors: Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim

Institutions: University of Basrah, National University of Malaysia, Al-Ayen Iraqi University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,830

OpenAlex ID: W4413067910

FWCI: 7.163

Cites: 39

Cited by: 4

Related to: 10