Coefficient estimates and the Fekete-Szeg o problem for certain classes of polyharmonic mappings
Abstract
We give coefficient estimates for a class of close-to-convex harmonic mappings, and discuss the Fekete-Szego problem of it. We also introduce two classes of polyharmonic mappings HSp and HCp, consider the starlikeness and convexity of them, and obtain coefficient estimates on them. Finally, we give a necessary condition for a mapping F to be in the class HCp.
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