On certain applications of the Hadamard product

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摘要

In this paper, we give an extension of the Özkan and Altintaş results [Ö. Özkan, O. Altintaş, Applications of differential subordination, Appl. Math. Lett. 19 (2006) 728–734] on the inclusion relationships involving various subclasses of analytic and univalent functions, defined in terms of linear operators. We show that these classes are closed under convolution with convex functions.

论文关键词:Analytic function,Univalent function,Convex function,Starlike function,Subordination,Hadamard product (or convolution),Bernardi operator,Libera operator,Alexander operator,Carlson–Shaffer operator,Dziok–Srivastava operator,Ruscheweyh operator

论文评审过程:Available online 30 October 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.10.031