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Certain classes of meromorphic multivalent functions
Authors:Zhi-Gang Wang   Yong Sun  Zhi-Hua Zhang  
Affiliation:aSchool of Mathematics and Computing Science, Changsha University of Science and Technology, Yuntang Campus, Changsha 410114, Hunan, PR China;bSchool of Mathematics and Econometrics, Hunan University, Changsha 410082, Hunan, PR China;cDepartment of Mathematics, Huaihua University, Huaihua 418008, Hunan, PR China;dDepartment of Mathematics, Shili Senior High School in Zixing, Chenzhou 423400, Hunan, PR China
Abstract:
In this paper, we introduce and investigate two new classes of meromorphic multivalent functions. Such results as subordination properties, coefficient inequalities, convolution properties and integral representations are proved. Several sufficient conditions for meromorphic multivalent starlikeness and convexity are also derived.
Keywords:Meromorphic multivalent functions   Meromorphic starlike functions   Meromorphic convex functions   Subordination between analytic functions   Hadamard product (or Convolution)
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