  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.

Complex Variables