Aufsatz in einer Fachzeitschrift
A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it



Details zur Publikation
Autor(inn)en:
Koepf, W.; Masjed-Jamei, M.
Publikationsjahr:
2006
Zeitschrift:
Integral Transforms and Special Functions
Seitenbereich:
559-576
Jahrgang/Band:
17
Erste Seite:
559
Letzte Seite:
576
ISSN:
1065-2469

Zusammenfassung, Abstract
In this work, we present a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type sigma(x) y(n)''(x)+tau(x)y(n)'(x)-lambda(n)y(n)(x)=0 and show that all the three classical orthogonal polynomial families as well as three finite orthogonal polynomial families, extracted from this equation, can be identified as special cases of this derived polynomial sequence. Some general properties of this sequence are also given.


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Zuletzt aktualisiert 2019-01-11 um 16:05