Work

Certain Geometric Investigations of Three Normalized Bessel-Type Functions of a Complex Variable

Year: 2025

Type: article

Abstract: We recall the normalized forms for the three Bessel-type functions; these functions are the Bessel function, Lommel function, and Struve function of the first kind. By using convolution, we define normalized forms. The essential purpose is to introduce necessary and sufficient bounds of these normalized functions so these functions are starlike and convex of order γ and type δ.

Source: Mathematics

DOI: 10.3390/math13233888

Authors: Rabab Alyusof, Shams Alyusof, Rabha M. El-Ashwah, Alaa H. El-Qadeem

Institutions: King Saud University, Imam Mohammad ibn Saud Islamic University, Damietta University, Zagazig 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: $3,137

Funder: Al-Imam Muhammad Ibn Saud Islamic University