2021/04/13 by Ponnusamy, Saminathan, Vijayakumar, Ramakrishnan, Wirths, Karl-Joachim · 3 citations
#30B10 31A05 #30C75 #30H05 #40A30 #41A58 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 30A10 #Secondary: 30C62
paper · doi:10.48550/arxiv.2104.05920
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-generalized by several mathematicians in various settings--which is now called Bohr phenomenon. Various generalization of Bohr's classical theorem is now an active area of research and has been a source of investigation in numerous other function spaces and including holomorphic functions of several complex variables. Recently, a new generalization of Bohr's ideas was introduced and investigated by Kayumov et al.. In this note, we investigate and refine generalized Bohr's inequality for the class of quasi-subordinations.