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arXiv · 2603.18531

On the univalence criteria for elliptic polyharmonic and polyelliptic-harmonic mappings

Rajib Mandal·Sudip Kumar Guin
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Abstract

In this paper, we first establish Landau-Bloch-type theorems for poly $(K,K')$-elliptic harmonic mappings, which are sharp in some given cases. Thereafter, we provide several coefficient bounds for $(K,K')$-elliptic and $K$-quasiregular polyharmonic mappings with bounded minimum distortion. Furthermore, using these coefficient bounds, we establish Landau-Bloch-type theorems for these mappings.

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Rajib Mandal, Sudip Kumar Guin. 2026-03-19. On the univalence criteria for elliptic polyharmonic and polyelliptic-harmonic mappings. https://arxiv.org/abs/2603.18531

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