Sharp Results for a New Class of Analytic Functions Associated with the q-Differential Operator and the Symmetric Balloon-Shaped Domain
In our current study, we apply differential subordination and quantum calculus to introduce and investigate a new class of analytic functions associated with the q-differential operator and the symmetric balloon-shaped domain. We obtain sharp results concerning the Maclaurin coefficients the second and third-order Hankel determinants, the Zalcman conjecture, and its generalized conjecture for this newly defined class of q-starlike functions with respect to symmetric points.
Authors
- Saqib Hussain (ORCID: https://orcid.org/0000-0003-2275-034X)
- Adeel Ahmad (ORCID: https://orcid.org/0000-0001-8191-5293)
- Akhter Rasheed (ORCID: https://orcid.org/0000-0003-3810-5214)
- Jianhua Gong (ORCID: https://orcid.org/0000-0003-2909-0970)
- Asad Ali (ORCID: https://orcid.org/0000-0001-9784-3378)
- Zeinebou Cheikh
Institutions
- COMSATS University Islamabad (PK)
- United Arab Emirates University (AE)
- Hazara University (PK)
- Abbottabad University of Science and Technology (PK)
Publication Details
- Journal
- Symmetry
- Published
- 2024-09-02
- DOI
- https://doi.org/10.3390/sym16091134
- Citations
- 4
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 4.05