On Sharp Coefficients and Hankel Determinants for a Novel Class of Analytic Functions
In this article, a new subclass of starlike functions is defined by using the technique of subordination and introducing a novel generalized domain. This domain is obtained by taking the composition of trigonometric sine function and the well known curve called lemniscate of Bernoulli which is the image of open unit disc under a function gξ=1+ξ. This domain is characterized by its pleasing geometry which exhibits symmetric about the real axis. For this newly defined subclass, we investigate the sharp upper bounds for its first four coefficients, as well as the second and third order Hankel determinants.
Authors
- Saqib Hussain (ORCID: https://orcid.org/0000-0003-2275-034X)
- Adeel Ahmad (ORCID: https://orcid.org/0000-0001-8191-5293)
- Huo Tang (ORCID: https://orcid.org/0000-0002-5685-9784)
- Saima Noor (ORCID: https://orcid.org/0000-0002-9038-1921)
- Dong Liu (ORCID: https://orcid.org/0000-0002-9839-3089)
- Huma Ikhlas
Institutions
- COMSATS University Islamabad (PK)
- Chifeng University (CN)
- Hazara University (PK)
- Abbottabad University of Science and Technology (PK)
- King Faisal University (SA)
Publication Details
- Journal
- Axioms
- Published
- 2025-03-05
- DOI
- https://doi.org/10.3390/axioms14030191
- Citations
- 1
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Inner Mongolia