Turkish Journal of Mathematics
Article Title
DOI
10.3906/mat-2109-15
Abstract
Let $T$ be the class of analytic functions in the open unit disc $\mathbb{U}$ with $f(0)=0$ and $f'(0)=1.$ For $f(z)\in T,$ the Alexander integral operator $A_{-1}f(z),$ the Libera integral operator $L_{-1}f(z)$ and the Bernardi integral operator $B_{-1}f(z)$ were considered before. Using $A_{-1}f(z)$ and $L_{-1}f(z),$ a new integral operator $F_{\lambda}f(z)$ is considered. After discuss some properties of dominant for $F_{\lambda}f(z),$ another new integral operator $O_{-1}f(z)$ of $f(z)\in T$ is discussed. The object of the present paper is to discuss the dominant of new integral operators $F_{\lambda}f(z)$ and $O_{-1}f(z)$ concerning with some starlike functions and convex functions in $\mathbb{U}.$
First Page
225
Last Page
241
Recommended Citation
GÜNEY, HATUN ÖZLEM and OWA, SHIGEYOSHI
(2022)
"New extension of Alexander and Libera integral operators,"
Turkish Journal of Mathematics: Vol. 46:
No.
1, Article 17.
https://doi.org/10.3906/mat-2109-15
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss1/17
