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math.CV2017
The Jacobian conjecture and injectivity conditions
Saminathan Ponnusamy, Victor V. Starkov
One of the aims of this article is to provide a class of polynomial mappings for which the Jacobian conjecture is true. Also, we state and prove several global univalence theorems…
math.CV2017
Coefficients of univalent harmonic mappings
Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj, Victor V. Starkov
Let denote the class of all functions that are sense-preserving, harmo…
math.CV2017
Sections of univalent harmonic mappings
Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj, Victor V. Starkov
In this article, we determine the radius of univalence of sections of normalized univalent harmonic mappings for which the range is convex (resp. starlike, close-to-convex, convex…