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math.CV2019★ 2 cited
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…
math.CV2019
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…