56 citations · 367 across the 127 of their papers we have counts for
9 papers · 2 filters
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…
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…
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…
Univalent harmonic mappings and lift to the minimal surfaces
YuePing Jiang, ZhiHong Liu, Saminathan Ponnusamy
We construct sense-preserving univalent harmonic mappings which map the unit disk onto a domain which is convex in the horizontal direction, but with varying dilatation. Also, we o…
John disk and -quasiconformal harmonic mappings
Shaolin Chen, Saminathan Ponnusamy
The main aim of this article is to establish certain relationships between -quasiconformal harmonic mappings and John disks. The results of this article are the generalizations…
Injectivity of sections of convex harmonic mappings and convolution theorems
Liulan Li, Saminathan Ponnusamy
In the article the authors consider the class of sense-preserving harmonic functions defined in the unit disk and normalized so that $h(…