In this paper, we obtain new sufficient conditions for the operators Fα1,α2,…,αn,β(z) and Gα1,α2,…,αn,β(z) to be univalent in the open unit disc U, where the functions f1, f2, …, fn belong to the classes S*(a, b) and K(a, b). The order of convexity for the operators Fα1,α2,…,αn,β(z) and Gα1,α2,…,αn,β(z) is also determined. Furthermore, and for β = 1, we obtain sufficient conditions for the operators Fn(z) and Gn(z) to be in the class K(a, b). Several corollaries and consequences of the main results are also considered.
@article{bwmeta1.element.doi-10_2478_v10062-012-0003-3,
author = {B. Frasin},
title = {On certain general integral operators of analytic functions},
journal = {Annales UMCS, Mathematica},
volume = {66},
year = {2012},
pages = {13-23},
zbl = {1267.30038},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0003-3}
}
B. Frasin. On certain general integral operators of analytic functions. Annales UMCS, Mathematica, Tome 66 (2012) pp. 13-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0003-3/
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