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- W25931072 abstract "A general set of biorthogonal rational functions, considered previously by Rahman and Wilson, is shown to satisfy a second-order linear difference equation of a nonuniform lattice. In the spirit of Hahn’s approach for orthogonal polynomials, raising and lowering operators as well as a Rodriguez-type formula are obtained for these functions which contain the classical orthogonal polynomials as limiting cases. Their biorthogonality in the discrete case is established by means of a Sturm-Liouville type argument. An outline of Wilson’s technique for representing them as Gram determinants is also given." @default.
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- W25931072 date "1993-01-01" @default.
- W25931072 modified "2023-10-18" @default.
- W25931072 title "Classical biorthogonal rational functions" @default.
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- W25931072 doi "https://doi.org/10.1007/bfb0117478" @default.
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