Abstract
Problem statement: Some properties of certain integral operators on some subclasses were studied. Approach: Certain classes defined by integral operators were introduced. The well known definitions and preliminaries results were stated. Results: Having new integral operator, the characterization problems were discussed. Thus sufficient conditions were given. Conclusion: Therefore, by having new integral operators, sufficient conditions were determined. In fact, other properties from this class could be obtained.
Highlights
The study of integral operators has been rapidly investigated by many authors in the field of univalent functions
Various integral operators have been introduced for certain class of analytic univalent functions in the unit disk
We begin by giving some well-known notations and preliminary results on the class defined by integral operators and the basic knowledge of logarithmic
Summary
The study of integral operators has been rapidly investigated by many authors in the field of univalent functions. Various integral operators have been introduced for certain class of analytic univalent functions in the unit disk. We follow the similar approach by introducing a logarithmic coefficients of analytic functions in the punctured disk. We begin by giving some well-known notations and preliminary results on the class defined by integral operators and the basic knowledge of logarithmic. Once the integral operator being derived, we shall discuss on the sufficient conditions of certain classes defined. Associated with each function f in S are its logarithmic coefficients γn defined by:. We denote by S the subclass of A consisting of functions which are univalent in U. Breaz[3] and studied by Breaz[1,2] and Breaz, Owa and Breaz[4]
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