A note on the circular complex centered form

The centered form for real rational functions suggested by R. E. Moore 6] was extended to complex polynomials over circular complex domains in 7]. Here it is shown that the inclusion chain $$\begin{gathered} circular complex centered form evaluation \subseteq \hfill \\ Horner scheme \subseteq \hfill \\ power sum evaluation \hfill \\ \end{gathered} $$ is valid for all complex polynomials and all circular domains.