Abstract
We call the solution of a kind of second order homogeneous partial differential equation as real kernel \(\alpha \)-harmonic mappings. In this paper, the representation theorem, the Lipschitz continuity, the univalency and the related problems of the real kernel \(\alpha \)-harmonic mappings are explored.
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The authors heartily thank the anonymous reviewers for their careful review and for their effective suggestions.
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Long, BY., Wang, QH. Several Properties of a Class of Generalized Harmonic Mappings. Complex Anal. Oper. Theory 18, 62 (2024). https://doi.org/10.1007/s11785-024-01511-7
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DOI: https://doi.org/10.1007/s11785-024-01511-7
Keywords
- Weighted Laplacian operator
- Univalency
- Polyharmonic mappings
- Lipschitz continuity
- Gauss hypergeometric function