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
- Fuad A. A. Awwad (ORCID: https://orcid.org/0000-0001-9541-5695)
- Taza Gul (ORCID: https://orcid.org/0000-0003-1376-8345)
- S. A. H. Shah (ORCID: https://orcid.org/0000-0003-3301-0347)
- Hafsa
- Esraa Ismail
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
Funders
- King Saud University