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Some inclusion relationships and integral-preserving properties of certain subclasses of meromorphic functions associated with a family of integral operators |
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| Authors: | Shao-Mou Yuan Zai-Ming Liu |
| Institution: | a Department of Mathematics, Central South University, Changsha, Hunan 410075, People's Republic of China b Department of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, People's Republic of China c Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada |
| Abstract: | The object of the present paper is to investigate a family of integral operators defined on the space of normalized meromorphic functions. By making use of these novel integral operators, we introduce and investigate several new subclasses of starlike, convex, close-to-convex, and quasi-convex meromorphic functions. In particular, we establish some inclusion relationships associated with the aforementioned integral operators. Several interesting integral-preserving properties are also considered. |
| Keywords: | Meromorphic functions Meromorphic starlike functions Meromorphic convex functions Meromorphic close-to-convex functions Meromorphic quasi-convex functions Hadamard product Ruscheweyh derivative Integral operators Integral-preserving properties |
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