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Orientador(es)
Resumo(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.
Descrição
Palavras-chave
Orthogonal polynomials Divided-difference operator Non-uniform lattices Laguerre-Hahn class
Contexto Educativo
Citação
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.