Landau's theorem for polyharmonic mappings

J. Chen; A. Rasila; X. Wang

doi:10.1016/j.jmaa.2013.07.061

Landau's theorem for polyharmonic mappings

J. Chen, A. Rasila, X. Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk D. Then, we obtain two versions of Landau's theorem for polyharmonic mappings F, and for the mappings of the type L(F), where L is the differential operator of Abdulhadi, Abu Muhanna and Khuri. Examples and numerical estimates are given.

Original language	English
Pages (from-to)	934-945
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	409
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2013.07.061
State	Published - 15 Jan 2014
Externally published	Yes

Keywords

Landau's theorem
Polyharmonic mapping

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10.1016/j.jmaa.2013.07.061

Cite this

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title = "Landau's theorem for polyharmonic mappings",

abstract = "In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk D. Then, we obtain two versions of Landau's theorem for polyharmonic mappings F, and for the mappings of the type L(F), where L is the differential operator of Abdulhadi, Abu Muhanna and Khuri. Examples and numerical estimates are given.",

keywords = "Landau's theorem, Polyharmonic mapping",

author = "J. Chen and A. Rasila and X. Wang",

note = "Funding Information: The research was partly supported by NSF of China (No. 11071063 ) and Hunan Provincial Innovation Foundation for Postgraduate (No. 125000-4242 ). ",

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AU - Rasila, A.

AU - Wang, X.

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PY - 2014/1/15

Y1 - 2014/1/15

N2 - In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk D. Then, we obtain two versions of Landau's theorem for polyharmonic mappings F, and for the mappings of the type L(F), where L is the differential operator of Abdulhadi, Abu Muhanna and Khuri. Examples and numerical estimates are given.

AB - In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk D. Then, we obtain two versions of Landau's theorem for polyharmonic mappings F, and for the mappings of the type L(F), where L is the differential operator of Abdulhadi, Abu Muhanna and Khuri. Examples and numerical estimates are given.

KW - Landau's theorem

KW - Polyharmonic mapping

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U2 - 10.1016/j.jmaa.2013.07.061

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M3 - 文章

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VL - 409

SP - 934

EP - 945

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Landau's theorem for polyharmonic mappings

Abstract

Keywords

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