Characterization theorem for Laguerre- Hahn orthogonal polynomials on non-uniform lattices

Rebocho, M. N.; Branquinho, A.

http://hdl.handle.net/10400.6/9058

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Authors

Rebocho, M. N.

Branquinho, A.

Abstract(s)

A characterization theorem for Laguerre–Hahn orthogonal polynomials on non-uniform lattices is stated and proved.This theorem proves the equivalence between the Riccati equation for the formal Stieltjes function, linear first-order difference relations for the orthogonal polynomials as well as for the associated polynomials of the first kind, and linear first-order difference relations for the functions of the second kind.

Keywords

Laguerre-Hahn orthogonal polynomials Divided difference operator Non-uniform lattices Riccati difference equation Structure relations

URI

http://hdl.handle.net/10400.6/9058

Citation

A. Branquinho and M.N. Rebocho, Characterization theorem for Laguerre- Hahn orthogonal polynomials on non-uniform lattices, Journal of Mathematical Analysis and Applications 427, no. 1 (2015), 185-201.