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.
@article{bwmeta1.element.ojs-doi-10_17951_a_2011_65_2_191-202,
author = {Magdalena Sobczak-Kne\'c and Viktor V. Starkov and Jan Szynal},
title = {Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {65},
year = {2011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_2_191-202}
}
Magdalena Sobczak-Kneć; Viktor V. Starkov; Jan Szynal. Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 65 (2011) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_2_191-202/
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