The Dw-Laguerre–Hahn Forms of Class Zero

We carry out the complete description of the D w -Laguerre–Hahn forms of class zero, where D w is the divided difference operator. Essentially, four canonical cases appear. Some particular cases which refer to well-known orthogonal sequences are exhibited.

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2020, Vol.17 (6)
Main Authors: Sghaier, M., Zaatra, M.
Format: Article
Language:English
Subjects:
Finite differences
Mathematics
Mathematics and Statistics
Operators (mathematics)
Online Access:Get full text
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Description
Summary:We carry out the complete description of the D w -Laguerre–Hahn forms of class zero, where D w is the divided difference operator. Essentially, four canonical cases appear. Some particular cases which refer to well-known orthogonal sequences are exhibited.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-020-01630-3