Landau-Type Theorems of Polyharmonic Mappings and log-p-Harmonic Mappings
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DOI: 10.1007/s11785-018-0784-7
Abstract: In this paper, we first establish three new Landau-type theorems of polyharmonic mappings, which extend the related results of biharmonic mappings of earlier authors. Then three new Landau-type theorems of log-p-harmonic mappings are also provided. read more here.
Keywords: theorems polyharmonic; landau type; polyharmonic mappings; type theorems ... See more keywords
On the univalence of certain polyharmonic mappings under differential operator
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DOI: 10.1080/00036811.2025.2477730
Abstract: The main object of this paper is to investigate the univalence of certain polyharmonic mappings under differential operator. We first establish two versions of integral inequality for harmonic mappings. Then, using these results, we obtain… read more here.
Keywords: certain polyharmonic; differential operator; polyharmonic mappings; univalence certain ... See more keywords