Work

Inclusion of Bessel functions in a subclass of spiral functions

Year: 2025

Type: article

Abstract: In this article, we derived conditions on the order $ \nu $ of the classical Bessel functions $ J_{\nu} $ that guarantee the inclusion of three distinct normalized forms of $ J_{\nu} $ in a subclass of $ \alpha $-spirallike functions. The primary goal was to determine the subintervals within $ (-\frac{\pi}{2}, \frac{\pi}{2}) $ where these inclusion conditions are satisfied. A key component in establishing our results was the upper bound of the ratio $ J_{\nu+1}(1)/J_{\nu}(1) $. The theoretical findings were validated through numerical experiments and accompanying graphical demonstrations.

Source: AIMS Mathematics

DOI: 10.3934/math.2025776

Authors: Saiful Rahman Mondal, Ahlam Almulhim

Institution: King Faisal 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: $1,200

Funder: King Faisal University