Bloch constant and Landau's theorem for planar p-harmonic mappings |
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| Authors: | Sh. Chen |
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| Affiliation: | a Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People's Republic of China
b Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India |
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| Abstract: | In this paper, our main aim is to introduce the concept of planar p-harmonic mappings and investigate the properties of these mappings. First, we discuss the p-harmonic Bloch mappings. Two estimates on the Bloch constant are obtained, which are generalizations of the main results in Colonna (1989) [9]. As a consequence of these investigations, we establish a Bloch and Landau's theorem for p-harmonic mappings. |
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| Keywords: | Planar harmonic mapping Planar p-harmonic mapping Planar p-harmonic Bloch function Landau's theorem and Bloch constant |
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