Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3322
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.
Keywords
Subordination, convex function, quasi close-to-$q$-convex function, $q$-derivative
First Page
3095
Last Page
3120
Recommended Citation
MUSTAFA, NİZAMİ and KORKMAZ, SEMRA
(2022)
"On a subclass of the analytic and bi-univalent functions satisfying subordinate condition defined by $q$-derivativ,"
Turkish Journal of Mathematics: Vol. 46:
No.
8, Article 4.
https://doi.org/10.55730/1300-0098.3322
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss8/4
