Geodesic
Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 65 (2011) no. 2.

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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.
Keywords: Planar harmonic mappings, order of a linear invariant family, Jacobian 
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Sobczak-Kneć, Magdalena; Starkov, Viktor V.; Szynal, Jan. Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 65 (2011) no. 2. http://geodesic.mathdoc.fr/item/AUM_2011_65_2_a7/

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