Turkish Journal of Mathematics
DOI
10.3906/mat-2101-56
Abstract
In this paper, we introduce $q-$analogue of Liu-Owa integral operator and define a subclass of $k-$uniformly multivalent starlike functions of order $\gamma, (0\leq\gamma< p; p\in\mathbb{N})$ by using the Liu-Owa $q-$integral operator. We examine coefficient estimates, growth and distortion bounds for the functions belonging to the subclass of $k-$uniformly multivalent starlike functions of order $\gamma$. Moreover, we determine radii of $k-$uniformly starlikeness, convexity and close-to-convexity for the functions belonging to this subclass.
Keywords
Analytic functions, starlike functions, growth theorem, distortion theorem, coefficient estimate
First Page
24
Last Page
35
Recommended Citation
ÇETİNKAYA, ASENA
(2022)
"k−uniformly multivalent functions involving Liu-Owa q−integral operator,"
Turkish Journal of Mathematics: Vol. 46:
No.
1, Article 2.
https://doi.org/10.3906/mat-2101-56
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss1/2
