Improved Bohr's phenomenon in quasi-subordination classes

By Saminathan Ponnusamy, R. Vijayakumar, Karl-Joachim Wirths. Journal of Mathematical Analysis and Applications, 2019

55 citations recorded by the source corpus.

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 these results in a reformulated "distance form" version and thereby we extend the refined versions of the Bohr inequality for the class of the quasi-subordinations which contains both the classes of majorization and subordination as special cases. As a consequence, we obtain several new results.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9490623a1708f296e440c9dc1645b54687c267be