Parameters of a positive chain sequence associated with orthogonal polynomials

Parameters of a positive chain sequence associated with orthogonal polynomials

The objective here is to provide a new characterization of all the parameter sequences of a positive chain sequence that has been of importance in the study of orthogonal polynomials on the real line. Connection formulas and some applications that follow from this new characterization have also been...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2022-06, Vol.150 (6), p.2553
Hauptverfasser: Marcato, Gustavo, Ranga, A., Lun, Yen
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creator Marcato, Gustavo
Ranga, A.
Lun, Yen
description The objective here is to provide a new characterization of all the parameter sequences of a positive chain sequence that has been of importance in the study of orthogonal polynomials on the real line. Connection formulas and some applications that follow from this new characterization have also been explored. Example of a class of positive chain sequences having explicit formulas for all the parameter sequences is also provided.
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title Parameters of a positive chain sequence associated with orthogonal polynomials
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