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

Rebocho, M. N.; Filipuk, Galina

http://hdl.handle.net/10400.6/9000

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Authors

Rebocho, M. N.

Filipuk, Galina

Abstract(s)

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.

Keywords

Orthogonal polynomials Divided-difference operator Non-uniform lattices Laguerre-Hahn class

URI

http://hdl.handle.net/10400.6/9000

Citation

G. Filipuk and M.N. Rebocho, Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions, Journal of Mathematical Analysis and Applications 456, no.2 (2017) 1380-1396.