Turkish Journal of Mathematics
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.
DOI
10.3906/mat-2101-56
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
