Primitive transcendental functions and symbolic computation

This paper presents the theoretical support for a novel and efficient approach to represent and deal symbolically with an important ensemble of complex functions. These functions are characterized by a Maclaurin series expansion whose general term may be factoring as: bjTj+kxjj! where bj is periodic, k∈Z and {Tm} is a complex sequence that characterizes a family of functions. The functions are structured in families of Euclidean vector spaces that facilitate a discrete vector representation. The used representations provide important facilitates for the symbolic computation of divers operators/operations that are executed by the computation of their “dual counterparts” into the representation space.