56 citations · 367 across the 127 of their papers we have counts for
7 papers · 2 filters
Logarithmic coefficients of the inverse of univalent functions
S. Ponnusamy, N. L. Sharma, K. -J. Wirths
Let $\es$ be the class of analytic and univalent functions in the unit disk , that have a series of the form . Let be the inverse of t…
Logarithmic coefficients problems in families related to starlike and convex functions
S. Ponnusamy, N. L. Sharma, K. -J. Wirths
Let $\es$ be the family of analytic and univalent functions in the unit disk $\D$ with the normalization , and let denote the logarithmic coefficie…
Riesz-Fejér inequalities for harmonic functions
Ilgiz R Kayumov, Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj
In this article, we prove the Riesz - Fejér inequality for complex-valued harmonic functions in the harmonic Hardy space for all . The result is sharp for $p \in…
On a powered Bohr inequality
Ilgiz R Kayumov, Saminathan Ponnusamy
The object of this paper is to study the powered Bohr radius , , of analytic functions and such that defined on the u…
Some properties of univalent log-harmonic mappings
ZhiHong Liu, Saminathan Ponnusamy
We determine the representation theorem, distortion theorem, coefficients estimate and Bohr's radius for log-harmonic starlike mappings of order , which are generalization of so…
The spherical metric and univalent harmonic mappings
Yusuf Abu Muhanna, Rosihan M. Ali, Saminathan Ponnusamy
Let be a harmonic univalent map in the unit disk , where and are analytic. We obtain an improved estimate for the second coefficient of .…