Using D-operators to construct orthogonal polynomials satisfying higher order q-difference equations

Renato Álvarez-Nodarse, Antonio J. Durán

Let $(p_n{)}_n$ be either the $q$-Meixner or the $q$-Laguerre polynomials. We form a new sequence of polynomials $(q_n{)}_n$ by considering a linear combination of two consecutive $p_n…