# Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian

@article{SobczakKne2011OldAN, title={Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian}, author={Magdalena Sobczak-Kne{\'c} and V. V. Starkov and Jan Szynal}, journal={Annales Umcs, Mathematica}, year={2011}, volume={65}, pages={191-202} }

The relation between the Jacobian and the orders of a linear invariant family of locally univalent harmonic mapping in the plane is studied. The new order (called the strong order) of a linear invariant family is defined and the relations between order and strong order are established.

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