Spectra and fine spectra of the generalized upper difference operator with triple repetition ?_3^ab on the Hahn sequence space

The goal of this paper is to obtain the spectra and ne spectra of the matrix D_3âb on the Hahn space. Also, we explore some ideas of how to study the problem for a general form of the matrix, namely, the matrix D_3âb where the non-zero diagonals are the entries of a n-ary repetition sequence.