Geodesic
Two approaches to the asymptotics of the zeros of a class of hypergeometric-type polynomials
Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 483-494 Cet article a éte moissonné depuis la source Math-Net.Ru

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A class of hypergeometric-type differential equations is considered. It is shown that its polynomial solutions $y_n$ exhibit an orthogonality with respect to a ‘varying measure’ (a sequence of measures) on $\mathbb R$. From this relation the asymptotic distribution of zeros is obtained by means of a potential theory approach. Moreover, the WKB or semiclassical approximation is used to construct an asymptotically exact sequence of absolutely continuous measures that approximate the zero distribution of $y_n$. 
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     title = {Two approaches to the~asymptotics of the~zeros of a~class of hypergeometric-type polynomials},
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A. Martínez; A. Sarso; R. Yan'es. Two approaches to the asymptotics of the zeros of a class of hypergeometric-type polynomials. Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 483-494. http://geodesic.mathdoc.fr/item/SM_1995_83_2_a11/

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