Work

How convex is a lens map?

Year: 2024

Type: article

Abstract: The crystalline lens of the human eye possesses a distinct convex shape, a subject that has garnered significant attention in optical research. In our study, we delve into the methodologies for quantifying the convexity of these lenses. Utilizing lens maps as our foundational model, we demonstrate that these mappings exhibit convexity of order $\beta >0$ and are starlike of order $\alpha >0$ . Furthermore, we establish a direct correlation between these orders and the opening angle of the lens map.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-024-03217-y

Authors: Vicente Ahumada, Eduardo Behm, Rodrigo Hernández, Dubalio Pérez

Institution: Adolfo Ibáñez 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: $1,990

Funder: Agencia Nacional de Investigación y Desarrollo