On certain general integral operators of analytic functions
B. A. Frasin
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 66 (2012), / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:289831 
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B. A. Frasin. On certain general integral operators of analytic functions. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 66 (2012) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2012_66_1_13-23/

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