Inclusion and neighborhood properties for certain classes of multivalently analytic functions of complex order associated with the convolution structure

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摘要

Making use of the familiar convolution structure of analytic functions, in this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order. Among the various results obtained here for each of these function classes, we derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the class introduced here.

论文关键词:Analytic functions,Univalent functions,Multivalently analytic functions,Hadamard product (or convolution),Coefficient inequalities,Inclusion properties,Neighborhood properties,Ruscheweyh derivative operator

论文评审过程:Available online 6 February 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.01.077