|
All six complex component functions  ,  ,  ,  ,  , and  cannot be easily represented by more generalized functions because most of them are analytic functions of their arguments. But sometimes such representations can be found through Meijer G functions, for example:
All six complex components  ,  ,  ,  ,  , and  satisfy numerous internal relations of the type  , where  and  are different complex components and  is a basic arithmetic operation or (composition of) elementary functions. The most important of these relations are represented in the following table:
Other internal relations between complex components of the type  , where  and  are different complex components that also exist. Some of them are shown here:
Here are some more formulas of the last type:
(here  is the Heaviside theta function, also called the unit step function).
The first table can be rewritten using the notations  :
|
