  In this paper we deal with Drinfeld modular forms, defined and taking values
in complete fields of positive characteristic. Our aim is to study a sequence
of families of Drinfeld modular forms depending on a parameter t that produces,
for certain values of t, several kinds of Eisenstein series considered by
Gekeler. We obtain formulas involving these functions. To obtain our results,
we introduce and discuss tau-linear recurrent sequences and deformations of
vectorial modular forms in this setting.

Number Theory