Symmetric semi-classical forms of class s≤2 generalizing Hermite

We give, explicitly the recurrence coefficients, integral representations and the structure relation coefficients of two semi-classical sequences of polynomials: the first is symmetric of class s≤2 generalizing the generalized Hermite sequence, and the second is nonsymmetric of class equal or less t...

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Published in:Integral transforms and special functions 2006-06, Vol.17 (6), p.391-408
Main Authors: Bouras, B., Alaya, J.
Format: Article
Language:English
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Summary:We give, explicitly the recurrence coefficients, integral representations and the structure relation coefficients of two semi-classical sequences of polynomials: the first is symmetric of class s≤2 generalizing the generalized Hermite sequence, and the second is nonsymmetric of class equal or less than one.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652460500441528