Certain geometric properties of two variable generalized Bessel functions

In this paper, we will define the normalized form of the generalized Bessel functions in \(k\) and \(s,k\) form. Sufficient conditions will be given under this study for starlikeness and convexity of normalized forms of \(k\)-Bessel function and \(s,k\)-Bessel function. Geometrical interpretation of Generalized Bessel \(k\) and \(s,k\) function for different values of \(k\) and \(s\) will also be discussed. For better understanding of the reader, some examples will be provided regarding to our approach. The graphical behaviour of these normalized functions and a comparison of graphs with classical form will also be studied to show the accuracy of results.

Authors

Publication Details

Journal
Journal of Mathematics and Computer Science
Published
2025-05-30
DOI
https://doi.org/10.22436/jmcs.040.01.04
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Certain geometric properties of two variable generalized Bessel functions

Fuad A. A. Awwad, Taza Gul, S. A. H. Shah, Hafsa et al.
Journal of Mathematics and Computer Science
Analytic and geometric function theory
article

Certain geometric properties of two variable generalized Bessel functions

Fuad A. A. Awwad, Taza Gul, S. A. H. Shah, Hafsa, Esraa Ismail
article en

Abstract

In this paper, we will define the normalized form of the generalized Bessel functions in \(k\) and \(s,k\) form. Sufficient conditions will be given under this study for starlikeness and convexity of normalized forms of \(k\)-Bessel function and \(s,k\)-Bessel function. Geometrical interpretation of Generalized Bessel \(k\) and \(s,k\) function for different values of \(k\) and \(s\) will also be discussed. For better understanding of the reader, some examples will be provided regarding to our approach. The graphical behaviour of these normalized functions and a comparison of graphs with classical form will also be studied to show the accuracy of results.

Journal of Mathematics and Computer ScienceVol. 40(01)
King Saud University
Openalex Percentile: Top 83%
Analytic and geometric function theory
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Certain geometric properties of two variable generalized Bessel functions — Fuad A. A. Awwad, Taza Gul, et al. · Journal of Mathematics and Computer Science (2025) | TGRS Research Map | TGRS