Abstract
The purpose of this note is to characterize those orthogonal polynomials sequences (Pn)n≥0 for whichπ(x)DqPn(x)=(anx+bn)Pn(x)+cnPn−1(x),n=0,1,2,…, where Dq is the Askey-Wilson operator, π is a polynomial of degree at most 2, and (an)n≥0, (bn)n≥0 and (cn)n≥0 are sequences of complex numbers such that cn≠0 for n=1,2,….
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