ABSTRACT
The last chapter presents a generalization of the Farey series different from the one studied in Chapter 2. The authors obtain several recursive formulas for the elements of the new series. The main result is similar to the one proved in Chapter 2 for the generalized Lehner continued fraction: if a point x in [0, 1] does not belong to the new Farey series, then x admits a unique infinite expansion as a generalized Hirzebruch-Jung continued fraction.
