In this article we prove Bohr inequalities for sense-preserving Kquasiconformal harmonic mappings defined in D and obtain the corresponding results for sense-preserving harmonic mappings by letting K → ∞. One of the results includes the sharpened version of a theorem by Kayumov et. al. (Math. Nachr., 291 (2018), no. 11-12, 1757-1768. In addition Bohr inequalities have been established for uniformly locally univalent holomorphic functions, and for log(f (z)/z) where f is univalent or inverse of a univalent function.2010 Mathematics Subject Classification. 30B10, 30C60, 31A05, 30C45.
We establish Bohr inequalities for operator-valued functions, which can be viewed as analogues of a couple of interesting results from scalar-valued settings. Some results of this paper are motivated by the classical flavour of Bohr inequality, while others are based on a generalized concept of the Bohr radius problem.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.