Applications of a q-Integral Operator to a Certain Class of Analytic Functions Associated with a Symmetric Domain
In this article, our objective is to define and study a new subclass of analytic functions associated with the q-analogue of the sine function, operating in conjunction with a convolution operator. By manipulating the parameter q, we observe that the image of the unit disc under the q-sine function exhibits a visually appealing resemblance to a figure-eight shape that is symmetric about the real axis. Additionally, we investigate some important geometrical problems like necessary and sufficient conditions, coefficient bounds, Fekete-Szegö inequality, and partial sum results for the functions belonging to this newly defined subclass.
Authors
- Saqib Hussain (ORCID: https://orcid.org/0000-0003-2275-034X)
- Adeel Ahmad (ORCID: https://orcid.org/0000-0001-8191-5293)
- H. Louati (ORCID: https://orcid.org/0000-0001-5032-3877)
- Shreefa O. Hilali (ORCID: https://orcid.org/0009-0009-2123-2488)
- Akhter Rasheed (ORCID: https://orcid.org/0000-0003-3810-5214)
- Asad Ali (ORCID: https://orcid.org/0000-0001-9784-3378)
- A. Y. Al-Rezami
Institutions
- Northern Border University (SA)
- Prince Sattam Bin Abdulaziz University (SA)
- COMSATS University Islamabad (PK)
- Hazara University (PK)
- Abbottabad University of Science and Technology (PK)
- King Khalid University (SA)
Publication Details
- Journal
- Symmetry
- Published
- 2024-10-31
- DOI
- https://doi.org/10.3390/sym16111443
- Citations
- 1
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 1.01