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Title: A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it
Authors: Koepf, WolframMasjed-Jamei, Mohammad
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2005
Series/Report no.: Mathematische Schriften Kassel05, 15
Abstract: In this work, we present a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type s(x)y"n(x) + t(x)y'n(x) - lnyn(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.
URI: urn:nbn:de:hebis:34-200604048989
Appears in Collections:Mathematische Schriften Kassel

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