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Generalized Coherent Pairs

✍ Scribed by K.H Kwon; J.H Lee; F Marcellán

Book ID: 102592931
Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 227 KB
Volume: 253
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7157

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✦ Synopsis

Ä 4 A pair of quasi-definite moment functionals u , u is a generalized coherent 0 1 0 1 tions under which either u or u is classical. In such a case, we also determine the 0 1 types of the ''companion'' moment functionals. Also some illustrating examples and two ways of generating generalized coherent pairs are given. We also discuss the corresponding Sobolev orthogonal polynomials.

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