On factorization of $q$-difference equation for continuous $q$-ultraspherical polynomials

I. Area, M. K. Atakishiyeva, J. Rodal

We prove that a customary Sturm-Liouville form of second-order $q$-difference equation for the continuous $q$-ultraspherical polynomials $C_n(x;\beta |q)$ of Rogers can be written in a…