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Characterizations of a special family of third-degree semi-classical forms of class one

โœ Scribed by Barhoumi, N.; Salah, I. Ben

Book ID
121308540
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
125 KB
Volume
24
Category
Article
ISSN
1065-2469

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A form (linear functional) u is called regular if there exists a sequence of polynomials {P n } n 0 , deg P n = n, which is orthogonal with respect to u. Such a form is said to be semi-classical, if there exist two polynomials ฮฆ and ฮจ such that (ฮฆu) + ฮจ u = 0. Now, this form is said to be of second

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A form (linear functional) u is called regular if there exists a sequence of polynomials {P,,},~>0, degP,,=n which is orthogonal with respect to u. Such a form is said to be semi-classical, if there exist polynomials ยขb and tp such that D(ebu) + 7~u = 0, where D designs the derivative operator. On