On planar harmonic functions with identical Jacobians

Ivan Nikitin

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arXiv · 2509.08922

On planar harmonic functions with identical Jacobians

Ivan Nikitin

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Abstract

This note provides a complete description of a family of sense preserving harmonic functions in the open unit disk that have the same Jacobians, provided that one of the representatives of this family is known.

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Ivan Nikitin. 2025-09-10. On planar harmonic functions with identical Jacobians. https://arxiv.org/abs/2509.08922

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