  In a recent paper, a new 3-parameter class of Abel type equations, so-called
AIR, all of whose members can be mapped into Riccati equations, is shown. Most
of the Abel equations with solution presented in the literature belong to the
AIR class. Three canonical forms were shown to generate this class, according
to the roots of a cubic. In this paper, a connection between those canonical
forms and the differential equations for the hypergeometric functions 2F1, 1F1
and 0F1 is unveiled. This connection provides a closed form pFq solution for
all Abel equations of the AIR class.
