9 citations · 13 across the 8 of their papers we have counts for
12 papers · 1 filter
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…
On classes of meromorphic locally univalent functions defined by differential inequalities
See Keong Lee, Saminathan Ponnusamy, Karl-Joachim Wirths
n this article we consider functions meromorphic in the unit disk. We give an elementary proof for a condition that is sufficient for the univalence of such functions which also co…