Compositions of polyharmonic mappings

Document Type

Book Chapter

Publication Title

Contemporary Mathematics

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.

First Page

209

Last Page

221

DOI

10.1090/conm/699/14092

Publication Date

1-1-2017

Comments

Open Access, Green

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