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Showing 2015 · math.CVShow all
3 papers · 2 filters
math.CV2015
Concave univalent functions and Dirichlet finite integral
Y. Abu Muhanna, S. Ponnusamy
The article deals with the class consisting of non-vanishing functions that are analytic and univalent in $\ID$ such that the complement $\IC\backslash f(\ID…
math.CV2015
Circular Symmetrization, Subordination and Arclength problems on Convex Functions
Mari Okada, Saminathan Ponnusamy, Allu Vasudevarao +1
We study the class of univalent analytic functions in the unit disk of the form $f(z)=z+\sum_{n=2}^{\infty}a_n z…
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…