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math.CV2015
Univalence criterion for harmonic mappings and -like functions
Sergey Yu. Graf, Saminathan Ponnusamy, Victor V. Starkov
In this paper, we obtain a new characterization for univalent harmonic mappings and obtain a structural formula for the associated function which defines the analytic -like func…
math.CV2015
Radii of covering disks for locally univalent harmonic mappings
Sergey Yu. Graf, Saminathan Ponnusamy, Victor V. Starkov
For a univalent smooth mapping of the unit disk $\ID$ of complex plane onto the manifold $f(\ID)$, let be the radius of the largest univalent disk on the manifold $f…