On certain general integral operators of analytic functions
B. A. Frasin (2012)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this paper, we obtain new sufficient conditions for the operators and to be univalent in the open unit disc , where the functions belong to the classes and . The order of convexity for the operators and is also determined. Furthermore, and for , we obtain sufficient conditions for the operators and to be in the class . Several corollaries and consequences of the main results are also considered.