Turkish Journal of Mathematics
Abstract
This study investigates certain geometric properties of the normalized k-Bessel function, which is a natural generalization of classical and modified Bessel functions of the first kind. These geometric properties include η-starlikeness, η-uniform convexity, starlikeness associated with exponential function and Bernoulli’s lemniscate, and convexity associated with exponential function and Bernoulli’s lemniscate. Moreover, certain corollaries related to classical and modified Bessel functions are presented by specialising parameters. In addition, some examples and their graphical representations are provided to support the findings of this study.
DOI
10.55730/1300-0098.3634
Keywords
Analytic function, k-Bessel function, η-starlikeness, η-uniform convexity, exponential starlikeness and convexity, lemniscate starlikeness and convexity
First Page
40
Last Page
53
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
GÖRGÜLÜ, M, & AKTAŞ, İ (2026). Further geometric properties of the generalized k-Bessel functions. Turkish Journal of Mathematics 50 (1): 40-53. https://doi.org/10.55730/1300-0098.3634
