Compositions of polyharmonic mappings

Gang Liu; Saminathan Ponnusamy

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arXiv · 1610.06389

Compositions of polyharmonic mappings

Gang Liu·Saminathan Ponnusamy

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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 polyharmonic mapping $f$ such that $f\circ F$ (resp. $F\circ f$) is $l$-harmonic for any analytic function (or harmonic mapping but not analytic, or $q$-harmonic mapping but not $(q-1)$-harmonic) $F$.

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Gang Liu, Saminathan Ponnusamy. 2016-10-20. Compositions of polyharmonic mappings. https://arxiv.org/abs/1610.06389

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