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arXiv 2013-09-28 0 views

Coefficient estimates and the Fekete-Szeg o problem for certain classes of polyharmonic mappings

Chen, Jiaolong · Rasila, Antti · Wang, Xiantao

Original · EN

We give coefficient estimates for a class of close-to-convex harmonic mappings, and discuss the Fekete-Szegő 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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