Properties of certain subclasses of multivalent analytic functions involving the Dziok–Srivastava operator

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摘要

In this paper, the authors introduce and investigate the various properties of two subclasses Sp,kl,m(α1;h) and Kp,kl,m(α1;h) of multivalent analytic functions. In particular, some sufficient conditions for the subclass Sp,kl,mα1;1+z1-z of analytic functions, argument properties, the growth theorems, distortion theorems and covering theorems are obtained. Some of the results, presented in this paper, would generalize and extend the corresponding results of earlier authors.

论文关键词:Analytic function,Multivalent function,Hadamard product (or convolution),Dziok–Srivastava operator,p-Valent starlike function,p-Valent convex function,k-Symmetric points

论文评审过程:Available online 19 June 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.06.025