Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions

[摘要] We deduce difference equations in the matrix form for Laguerre-Hahn orthogonal polynomials on systems of non-uniform lattices, the so-called compatibility conditions, involving the transfer matrices. As a consequence, we obtain closed form expressions for the recurrence relation coefficients of the Laguerre-Hahn polynomials of class zero. (C) 2017 Elsevier Inc. All rights reserved.

[发布日期] 2017-12-15

[关键词] Orthogonal polynomials;Divided-difference operator;Non-uniform lattices;Laguerre-Hahn class