Aufsatz in einer Fachzeitschrift
On incomplete symmetric orthogonal polynomials of Jacobi type



Details zur Publikation
Autor(inn)en:
Masjed-Jamei, M.; Koepf, W.
Publikationsjahr:
2010
Zeitschrift:
Integral Transforms and Special Functions
Seitenbereich:
655-662
Jahrgang/Band:
21
Erste Seite:
655
Letzte Seite:
662
ISSN:
1065-2469

Zusammenfassung, Abstract
In this paper, by using the extended Sturm-Liouville theorem for symmetric functions, we introduce the following differential equation [image omitted] in which =-2s(2s+2a-2m+1), =2s(2s+2a-2m+1)-2(2r+1)(r+a-m+1) and n=(mn+2s+(r-s+(m-1)/2)(1-(-1)n))(mn+2s+2a+1+2mb+(r-s+(m-1)/2)(1-(-1)n)) and show that one of its basic solutions is a class of incomplete symmetric polynomials orthogonal with respect to the weight function |x|2a(1-x2m)b on [-1,1]. We also obtain the norm square value of this orthogonal class.


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Zuletzt aktualisiert 2019-01-11 um 16:06