Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian
Magdalena Sobczak-Kneć, Viktor V. Starkov, Jan Szynal (2011)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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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.