A Note on Polyharmonic Mappings
نویسندگان
چکیده
In this paper we prove a Radó type result showing that there is no univalent polyharmonic mapping of the unit disk onto whole complex plane. We also establish connection between boundary functions harmonic and biharmonic mappings. Finally, show how close-to-convex can be constructed from convex mapping.
منابع مشابه
Note on Polyharmonic Functions1
It is the purpose of this note to show that there exists an inequality of the same general character as (1) if the hypothesis that u(P) be harmonic is replaced by the considerably weaker assumption that u(P) be a polyharmonic function of order « (w>l). The latter expression refers to a function which is continuous, has continuous derivatives up to the order 2«, and is a solution of AMu = 0, whe...
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ژورنال
عنوان ژورنال: Computational Methods and Function Theory
سال: 2021
ISSN: ['2195-3724', '1617-9447']
DOI: https://doi.org/10.1007/s40315-021-00406-4