PARAMETERS OF A POSITIVE CHAIN SEQUENCE ASSOCIATED WITH ORTHOGONAL POLYNOMIALS
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Data
2022-01-01
Autores
Marcato, Gustavo A. [UNESP]
Sri Ranga, A. [UNESP]
Lun, Yen Chi [UNESP]
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Resumo
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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asymptotics, Orthogonal polynomials, parameter sequences, positive chain sequences
Como citar
Proceedings of the American Mathematical Society, v. 150, n. 6, p. 2553-2567, 2022.