On sieved orthogonal polynomials. X. General blocks of recurrence relations

Jairo A. Charris, Mourad Ismail and Sergio Monsalve

Vol. 163 (1994), No. 2, 237–267

DOI: 10.2140/pjm.1994.163.237

Abstract

Orthogonal polynomials defined by general blocks of recurrence relations are examined. The connection with polynomial mappings is established, and applications are given to sieved orthogonal polynomials. This work extends earlier work on symmetric sieved polynomials to the case when the polynomials are not necessarily symmetric.

Mathematical Subject Classification 2000

Primary: 33C45

Secondary: 39A10

Milestones

Received: 2 April 1991

Revised: 8 August 1991

Published: 1 April 1994