Sieved Orthogonal Polynomials. VII: Generalized Polynomial Mappings

Jairo A. Charris, Mourad E. H. Ismail
1993 Transactions of the American Mathematical Society  
Systems of symmetric orthogonal polynomials whose recurrence relations are given by compatible blocks of second-order difference equations are studied in detail. Applications are given to the theory of the recently discovered sieved orthogonal polynomials. The connection with polynomial mappings is examined. An example of a family of orthogonal polynomials having discrete masses in the interior of the spectrum is included.
doi:10.2307/2154546 fatcat:kfqy6omu5ra2xmqketryhb4hfy