Landau-Type Theorems of Polyharmonic Mappings and log-p-Harmonic Mappings

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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.

Keywords

Landau-type theorem Polyharmonic mappings Log-p-harmonic mappings Univalent 

Mathematics Subject Classification

Primary 30C99 Secondary 30C62 

Notes

Acknowledgements

The authors are grateful to the anonymous referees for making many valuable suggestions that improved the quality and the readability of this paper. The research was financially supported by Guangdong Natural Science Foundation (Grant No.2014A030313422).

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematical SciencesSouth China Normal UniversityGuangzhouPeople’s Republic of China

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