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April 2022 Construction and determination of univalent biharmonic mappings
Bo-Yong Long, Qi-Han Wang
Rocky Mountain J. Math. 52(2): 627-643 (April 2022). DOI: 10.1216/rmj.2022.52.627

Abstract

We construct a family of biharmonic mappings Wα,β, which arises from analytic functions and has two parameters. Some sufficient conditions for Wα,β to be sense-preserving and univalent are explored. The radii of full convexity and starlikeness of Wα,β are determined. Some sufficient conditions for biharmonic mappings to be fully starlike and fully convex are obtained. Many related previous results are generalized.

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Bo-Yong Long. Qi-Han Wang. "Construction and determination of univalent biharmonic mappings." Rocky Mountain J. Math. 52 (2) 627 - 643, April 2022. https://doi.org/10.1216/rmj.2022.52.627

Information

Received: 13 July 2018; Revised: 2 July 2021; Accepted: 28 July 2021; Published: April 2022
First available in Project Euclid: 17 May 2022

Digital Object Identifier: 10.1216/rmj.2022.52.627

Subjects:
Primary: 31A05 , 31A30
Secondary: 30C45

Keywords: biharmonic mappings , fully convex , fully starlike , radius , Univalent

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 2 • April 2022
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