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Certain Classes of Analytic Functions Related to the Crescent-Shaped Regions
Authors:R K Raina  P Sharma  J Sokół
Institution:1.University of Agriculture and Technology,Udaipur,India;2.University of Lucknow,Lucknow,India;3.University of Rzeszów,Rzeszów,Poland
Abstract:In this paper, we study certain classes of analytic functions which satisfy a subordination condition and are associated with the crescent-shaped regions. We first give certain integral representations for the functions belonging to these classes and also present a relevant example. Making use of some known lemmas, we derive sufficient conditions for the functions to be in these classes. Some results on coefficient estimates are also obtained.
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