Abstract
Using known limit formulae, which connect the Gegenbauer and Jacobi polynomials with the Hermite and Laguerre polynomials, respectively, similar formulae are derived for the corresponding Stieltjes polynomials. The usefulness of these-formulae is demonstrated by employing them to show the nonexistence of Gauss–Kronrod quadrature formulae for the Gegenbauer and Jacobi weight functions with real nodes and positive weights.
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