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.doi-10_2478_v10062-011-0024-3,
author = {Magdalena Sobczak-Kne\'c and Viktor Starkov and Jan Szynal},
title = {Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian},
journal = {Annales UMCS, Mathematica},
volume = {65},
year = {2011},
pages = {191-202},
zbl = {1250.30020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0024-3}
}
Magdalena Sobczak-Kneć; Viktor Starkov; Jan Szynal. Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian. Annales UMCS, Mathematica, Tome 65 (2011) pp. 191-202. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0024-3/
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