Abstract
This study introduces a subclass S∗qs of starlike functions associated with the q-analogue of
the sine function defined in symmetric unit disk. This article comprises the investigation of sharp
coefficient bounds, and the upper bound of the third-order Hankel determinant for this class. It also
includes the findings of Zalcman and generalized Zalcman conjectures for functions of this class.
the sine function defined in symmetric unit disk. This article comprises the investigation of sharp
coefficient bounds, and the upper bound of the third-order Hankel determinant for this class. It also
includes the findings of Zalcman and generalized Zalcman conjectures for functions of this class.
Original language | English |
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Article number | 2200 |
Number of pages | 15 |
Journal | Symmetry |
Volume | 2022 |
Issue number | 14 |
Publication status | Published - 19 Oct 2022 |
Keywords
- analytic functions
- q-starlike functions
- univalent function
- Hankel determinant
- symmetric matrix
- Zalcman inequalities
- q-derivative operator