Work

Hankel determinants for q -starlike functions connected with q -sine function

Year: 2025

Type: article

Abstract: This article comprises the study of a new class of starlike functions, which is defined by q q -fractional operator and subordination to the q q -analog of sine function. This q q -sine function is defined by using the q q -exponential function and has the symmetric geometric structure. Certain coefficient problems are discussed for the newly defined class S q sin ∗ {S}_{q\sin }^{\ast } , which include four coefficient bounds and the upper bounds of second and third Hankel determinants. Kruskal’s inequality for this class is also a part of this study.

Source: Demonstratio Mathematica

DOI: 10.1515/dema-2024-0044

Authors: Yusra Taj, Saira Zainab, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik

Institutions: COMSATS University Islamabad, National University of Sciences and Technology, University of the Faroe Islands, King Saud 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: $1,187

OpenAlex ID: W4411712488

FWCI: 1.865

Cites: 50

Cited by: 1

Related to: 10