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Many authors studied families    of complex valued functions, which are holomorphic in bounded complete  n -circular domains    and fulfil some geometric conditions. The above functions were applied later to research families of locally biholomorphic mappings in ℂ  n  . In this paper we consider a problem of inclusions between a few of such families    and families   ,   , which are defined by applying a function decomposition with respect to the group of  k th roots of unity.

Embedding theorems for holomorphic functions of several complex variables