Polydisk

Let ${\bf c}=(c_1, \ldots, c_n)$ be a point in $\Bbb{C}^n$, then the open polydisk is defined by

$$S=\{z: \vert z_j-c_j\vert<\vert z_j^0-c_j\vert\}$$

for $j=1$, ..., $n$.

See also Disk, Open Disk

References

Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 100, 1980.