Some homogeneous $q$-difference operators and the associated generalized Hahn polynomials

Hari M. Srivastava, Sama Arjika, Abey Sherif Kelil

In this paper, we first construct the homogeneous $q$-shift operator $\tilde{E}(a,b;D_q)$ and the homogeneous $q$-difference operator $\tilde{L}(a,b;{\theta }_{xy})$. We then ap…