Landau’s theorem for polyharmonic mappings. (English) Zbl 1307.31007
Summary: In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk \(\mathbb D\). Then, we obtain two versions of Landau’s theorem for polyharmonic mappings \(F\), and for the mappings of the type \(L(F)\), where \(L\) is the differential operator of Abdulhadi, Abu Muhanna and Khuri. Examples and numerical estimates are given.
MSC:
| 31A30 | Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions |
References:
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