GENERATORS OF RATIONAL SPECTRAL TRANSFORMATIONS FOR NONTRIVIAL C-FUNCTIONS

GENERATORS OF RATIONAL SPECTRAL TRANSFORMATIONS FOR NONTRIVIAL C-FUNCTIONS

In this paper we consider transformations of sequences of orthogonal polynomials associated with a Hermitian linear functional ℒ using spectral transformations of the corresponding C-function F ℒ . We show that a rational spectral transformation of F ℒ with polynomial coefficients is a finite compos...

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Veröffentlicht in:Mathematics of computation 2013-04, Vol.82 (282), p.1057-1068
Hauptverfasser: CASTILLO, KENIER, MARCELLÁN, FRANCISCO
Format: Artikel
Sprache:eng
Schlagworte:
Complex numbers
Degrees of polynomials
Line spectra
Mathematical functions
Mathematical sequences
Mathematical transformations
Mops
Polynomials
Recurrence relations
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Zusammenfassung:In this paper we consider transformations of sequences of orthogonal polynomials associated with a Hermitian linear functional ℒ using spectral transformations of the corresponding C-function F ℒ . We show that a rational spectral transformation of F ℒ with polynomial coefficients is a finite composition of four canonical spectral transformations.
ISSN:0025-5718
1088-6842
DOI:10.1090/S0025-5718-2012-02655-X