Generalized Analytic Functions in elliptic complex numbers

In this talk we will introduce a definition of Generalized Analytic Functions
(in the sense of Vekua), in elliptic complex numbers. One advantage of this definition 
is that its Canonical Form is more general than Vekua's and in many cases the reduction
from the elliptic and linear partial differential equation of first order can be done  
without solving an associated Beltrami equation. Finally, using techniques of Vekua we 
will show that these functions satisfy a representation formula that generalizes the   
Similarity Principle in the ordinary case.