Work

Majorization Problem for q-General Family of Functions with Bounded Radius Rotations

Year: 2024

Type: article

Abstract: In this paper, we first prove the q-version of Schwarz Pick’s lemma. This result improved the one presented earlier in the literature without proof. Using this novel result, we study the majorization problem for the q-general class of functions with bounded radius rotations, which we introduce here. In addition, the coefficient bound for majorized functions related to this class is derived. Relaxing the majorized condition on this general family, we obtain the estimate of coefficient bounds associated with the class. Consequently, we present new results as corollaries and point out relevant connections between the main results obtained from the ones in the literature.

Source: Mathematics

DOI: 10.3390/math12172605

Authors: Kanwal Jabeen, Afis Saliu, Jianhua Gong, Saqib Hussain

Institutions: COMSATS University Islamabad, University of the Gambia, United Arab Emirates 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: $2,955

Funder: United Arab Emirates University