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Compositions of polyharmonic mappings
Date Issued
01-01-2017
Author(s)
Liu, Gang
Indian Institute of Technology, Madras
Abstract
The paper is devoted to the study of compositions of polyharmonic mappings in simply connected domains. More precisely, we determine necessary and sufficient conditions of a polyharmonic mapping f such that f ◦ F (resp. F ◦ f) is l-harmonic for any analytic function (or harmonic mapping but not analytic, or q-harmonic mapping but not (q − 1)-harmonic) F.
Volume
699