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

Magdalena Sobczak-Kneć, Viktor V. Starkov, Jan Szynal


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.


Planar harmonic mappings; order of a linear invariant family; Jacobian

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DOI: http://dx.doi.org/10.17951/a.2011.65.2.191-202
Data publikacji: 2016-07-27 21:54:13
Data złożenia artykułu: 2016-07-27 14:42:24


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