Turkish Journal of Mathematics
Abstract
In this paper, we introduce and examine certain subclass $\ M_{q,\Sigma }\left( \varphi ,\beta \right) $ of analytic and bi-univalent functions on the open unit disk in the complex plane. Here, we give coefficient bound estimates, upper bound estimate for the second Hankel determinant and Fekete-Szegö inequality for the function belonging to this class. Some interesting special cases of the results obtained here are also discussed.
DOI
10.55730/1300-0098.3322
Keywords
Subordination, convex function, quasi close-to-$q$-convex function, $q$-derivative
First Page
3095
Last Page
3120
Recommended Citation
MUSTAFA, N, & KORKMAZ, S (2022). On a subclass of the analytic and bi-univalent functions satisfying subordinate condition defined by $q$-derivativ. Turkish Journal of Mathematics 46 (8): 3095-3120. https://doi.org/10.55730/1300-0098.3322
