9 citations · 20 across the 19 of their papers we have counts for
22 papers
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}…
Modifications of Bohr's inequality in various settings
Saminathan Ponnusamy, Ramakrishnan Vijayakumar, Karl-Joachim Wirths
The concept of Bohr radius for the class of bounded analytic functions was introduced by Harald Bohr in 1914. His initial result received greater interest and was sharpened-refined…
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)\…
Bohr type inequalities for functions with a multiple zero at the origin
Saminathan Ponnusamy, Karl-Joachim Wirths
Recently, there has been a number of good deal of research on the Bohr's phenomenon in various setting including a refined formulation of his classical version of the inequality. A…
Refinement of the Classical Bohr Inequality
Saminathan Ponnusamy, Ramakrishnan Vijayakumar, Karl-Joachim Wirths
The classical inequality of Bohr asserts that if a power series converges in the unit disk and its sum has modulus less than or equal to , then the sum of absolute values of its…
Improved Bohr's phenomenon in quasi-subordination classes
Saminathan Ponnusamy, Ramakrishnan Vijayakumar, Karl-Joachim Wirths
Recently the present authors established refined versions of Bohr's inequality in the case of bounded analytic functions. In this article, we state and prove a generalization of th…