On the starlikeness of analytic functions associated with Cassini oval with applications to special functions
Abstract
This paper studies the strong starlikeness of analytic functions associated with the right-half plane Cassini oval by establishing coefficient conditions for their power series expansions. The study utilizes the Cauchy product of power series along with key inequalities involving the Pochhammer symbol and the Gamma function. A special case of the main result leads to the lemniscate starlikeness of analytic functions. The derived results are further applied to several special functions, providing parameter restrictions under which these functions become strongly starlike and hence lemniscate starlike. The findings extend and refine several earlier results in this domain.
Fields of Study & Subjects
Analytic and geometric function theory
Meromorphic and Entire Functions
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of Inequalities and Applications
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 1
- Publication date
- 20 May 2026
- Language
- EN