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A domain  $  D $
in the complex space  $  \mathbf C  ^ {2} $
that can be represented in the form of the Cartesian product of two planar domains  $  D _ {1} $
and  $  D _ {2} $, 
i.e.

$$ 
D  =  \{ {(z _ {1} , z _ {2} ) } : {
z _ {1} \in D _ {1} , z _ {2} \in D _ {2} } \}
.
$$

A special case of a bicylindrical domain is the bidisc (bicylinder)  $  B(a, r) = \{ {(z _ {1} , z _ {2} ) } : {| z _ {1} - a _ {1} | < r _ {1} ,   | z _ {2} - a _ {2} | < r _ {2} } \} $
of radius  $  r = (r _ {1} , r _ {2} ) $
with centre at  $  a = (a _ {1} , a _ {2} ) $. 
The Cartesian product of  $  n $(
for  $  n \geq  3 $) 
planar domains is said to be a polycylindrical domain. A polydisc (polycylinder) is defined in a similar way.