Work

Analysis of coefficient functionals for analytic functions with bounded turning linked with $ q $-Sine function

Year: 2025

Type: article

Abstract: This research study was focused on investigating a newly defined subclass of analytic functions, denoted as $ R_{\sin _{q}} $ that was affiliated with the $ q $-analogue of sine function that was defined in the open unit disk. The study examined the $ q $-analogue of the sine function, with a focus on analyzing the upper bound of second and third order Hankel determinants, addressing coefficient problems, investigating the Krushkal inequality and estimating certain sharp bounds for coefficient problems for the corresponding subclass $ R_{\sin _{q}} $. All computed bounds were sharp.

Source: AIMS Mathematics

DOI: 10.3934/math.2025772

Authors: Rubab Nawaz, Sarfraz Nawaz Malik, Daniel Breaz, Luminiţa-Ioana Cotîrlă

Institutions: COMSATS University Islamabad, 1 Decembrie 1918 University, Technical University of Cluj-Napoca

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Higher Education Commision, Pakistan