Certain subclasses of multivalent analytic functions defined by multiplier transforms

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摘要

By making use of the principle of subordination between analytic functions and a family of multiplier transforms, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships, subordination and superordination properties, integral-preserving properties, argument estimates and convolution properties are proved.

论文关键词:Analytic functions,Multivalent functions,Differential subordination,Superordination,Hadamard product (or convolution),Multiplier transforms

论文评审过程:Available online 25 January 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.01.031