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- W3151716739 abstract "with | (x + l)a (x — l)ai| as weight function. We call (x — ao)°> ■ • • (x — aP)ap still the weight function of the generalized Jacobi polynomials of the order p. By introduction of the extended Heine-Stieltjes polynomials p^''^(x) = (x-ao)at ■ ■ ■ (x-ap)pP^'a'')(x) and by denoting fak+l(uvxl/(x-a0)a ■ ■ ■ (x-aP)a)dx, by Bki, we obtain BH =0.12 We turn finally to the special case, interesting among others for the theory of the transfinite diameter and the Fefce/e-diameters of a finite degree m, that at = pi= 1, i = 0, ■ • ■ , p. Then the generalized Vandermondean Fm(£i, £2, ■ • • , £m; ei, e2, ■ • ■ , em) becomes the usual Vandermondean Fm(£i, £2, • • • , £.»)= IIis«*s<» (£* — £*) and, since ^4i(x) =A(x), there results B(x) =A'(x)." @default.
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- W3151716739 date "1958-01-01" @default.
- W3151716739 modified "2023-09-23" @default.
- W3151716739 title "AN INTEGRAL TRANSFORMATION RELATION" @default.
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