7 citations · 17 across the 12 of their papers we have counts for
13 papers · 1 filter
Geometric subfamily of functions convex in some direction and Blaschke products
Liulan Li, Saminthan Ponnusamy
Consider the family of locally univalent analytic functions in the unit disk with the normalization , and satisfying the condition $${\real} \left( \f…
An elementary counterexample to a coefficient conjecture
Liulan Li, Saminathan Ponnusamy, Karl-Joachim Wirths
In this article, we consider the family of functions meromorphic in the unit disk $\ID=\{z :\,|z| < 1\}$ with a pole at the point , a Taylor expansion \[f(z)= z+\sum_{k=2}…
Relations of the class to other families of functions
Liulan Li, Saminathan Ponnusamy, Karl-Joachim Wirths
In this article, we consider the family of functions analytic in the unit disk with the normalization and satisfying the condition $\big |\big (z/f(z)\…
Circle embeddings with restrictions on Fourier coefficients
Liulan Li, Leonid V. Kovalev
This paper continues the investigation of the relation between the geometry of a circle embedding and the values of its Fourier coefficients. First, we answer a question of Kovalev…
Rotations and convolutions of harmonic convex mappings
Liulan Li, Saminathan Ponnusamy
In this paper, we consider the convolutions of slanted half-plane mappings and strip mappings and generalize related results in general settings. We also consider a class of harmon…
Note on the convolution of harmonic mappings
Liulan Li, Saminathan Ponnusamy
Dorff et al. \cite{DN} formulated a question concerning the convolution of two right half-plane mappings, where the normalization of the functions was considered incorrectly. In th…