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

Rajib Mandal; Sudip Kumar Guin

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

Complex Variables 2026-03-20 v1

Authors: Rajib Mandal , Sudip Kumar Guin

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.

Keywords

univalence criteria elliptic polyharmonic mappings polyelliptic-harmonic mappings Landau-Bloch theorems coefficient bounds quasiregular mappings minimum distortion

Cite

@article{arxiv.2603.18531,
  title  = {On the univalence criteria for elliptic polyharmonic and polyelliptic-harmonic mappings},
  author = {Rajib Mandal and Sudip Kumar Guin},
  journal= {arXiv preprint arXiv:2603.18531},
  year   = {2026}
}

Comments

17 pages

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