2016/10/20 by Gang Liu, Liu, Gang, Saminathan Ponnusamy +1
Mathematics · #31A05 #31A30 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1610.06389
openalex publication_date 2016/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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∘ 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.