ABSTRACT
This chapter generalizes the classical Farey series. Among other things, the authors prove that a point x ∈ [1, 1 + a] admits a unique infinite expansion as a generalized Lehner continued fraction whenever x− 1 does not belong to the a-modified Farey series. In addition, they deduce several recursive formulas to derive the elements of the series. An extension of the classical Farey theorem to a-modified series concludes the chapter.
