Bibliographic Details
| Title: |
Applications of a q -Integral Operator to a Certain Class of Analytic Functions Associated with a Symmetric Domain. |
| Authors: |
Ahmad, Adeel1 (AUTHOR) adeel.maths@hu.edu.pk, Louati, Hanen2 (AUTHOR) hanen.louati@nbu.edu.sa, Rasheed, Akhter3 (AUTHOR) akhter_rasheed77@yahoo.com, Ali, Asad1 (AUTHOR) asad_maths@hu.edu.pk, Hussain, Saqib3 (AUTHOR) asad_maths@hu.edu.pk, Hilali, Shreefa O.4 (AUTHOR) shoamin@kku.edu.sa, Al-Rezami, Afrah Y.5 (AUTHOR) a.alrezamee@psau.edu.sa |
| Source: |
Symmetry (20738994). Nov2024, Vol. 16 Issue 11, p1443. 17p. |
| Subject Terms: |
*SYMMETRIC domains, *SYMMETRIC functions, *SINE function, *ANALYTIC functions |
| Abstract: |
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. [ABSTRACT FROM AUTHOR] |
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