08/09/2010, 08:55 PM

i had some ideas relating tetration and superfunctions in general to the following properties :

A) f(z) is Coo and Im f(z) is periodic.

B) f(z) is Coo and Re f(z) is periodic.

C) A) and B) but f(z) is not periodic.

what is known about functions satisfying A) B) or C) ?

anything special about them ?

are there series expansions only valid for such functions ?

A) f(z) is Coo and Im f(z) is periodic.

B) f(z) is Coo and Re f(z) is periodic.

C) A) and B) but f(z) is not periodic.

what is known about functions satisfying A) B) or C) ?

anything special about them ?

are there series expansions only valid for such functions ?