Discrete semi-classical orthogonal polynomials of class one on quadratic lattices

Rebocho, M. N.; Filipuk, Galina

http://hdl.handle.net/10400.6/8993

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Authors

Rebocho, M. N.

Filipuk, Galina

Abstract(s)

We study orthogonal polynomials on quadratic lattices with respect to a Stieltjes function, S, that satisfies a difference equation ADS = CMS+D; where A is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater or equal than 1 and less or equal than 2. We show systems of difference equations for the orthogonal polynomials that arise from the so-called compatibility conditions. Some closed formulae for the recurrence relation coefficients are obtained.

Keywords

Discrete orthogonal polynomials Quadratic lattice Divided-dierence operator Semi-classical class

URI

http://hdl.handle.net/10400.6/8993

Citation

G. Filipuk and M.N. Rebocho, Discrete semi-classical orthogonal polynomials of class one on quadratic lattices, Journal of Difference Equations and Applications 25, no. 1 (2019) 1-20.