A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols

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Previous article Next article A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ SymbolsRichard Askey and James WilsonRichard Askey and James Wilsonhttps://doi.org/10.1137/0510092PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractA very general set of orthogonal polynomials with five free parameters is given explicitly, the orthogonality relation is proved and the three term recurrence relation is found.[1] George E. Andrews and , Richard Askey, M. Aigner and , D. Reidel, Enumeration of partitions: the role of Eulerian series and q-orthogonal polynomialsHigher combinatorics (Proc. NATO Advanced Study Inst., Berlin, 1976), NATO Adv. Study Inst. Ser., Ser. C: Math. Phys. Sci., Vol. 31, Reidel, Dordrecht, 1977, 3–26, Boston MR519776 0381.10008 CrossrefGoogle Scholar[2] G. Andrews and , R. Askey, Some basic hypergeometric analogues of the classical orthogonal polynomials and applications, to appear. 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