Geodesic
Multipoint Pad\'e Approximations of the Beta Function
Matematičeskie zametki, Tome 85 (2009) no. 2, pp. 189-203.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study multipoint rational approximations with free poles for the beta function. The denominators of the approximations satisfy orthogonality relations with variable weight with respect to a discrete measure. We obtain the limit distribution of zeros of the denominators. A potential-theoretic interpretation of the results obtained is given.
Keywords: beta function, Padé approximation, logarithmic potential theory, Rakhmanov's equilibrium problem
Mots-clés : Rodrigues' formula, Cauchy transform. 
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A. A. Kandayan. Multipoint Pad\'e Approximations of the Beta Function. Matematičeskie zametki, Tome 85 (2009) no. 2, pp. 189-203. http://geodesic.mathdoc.fr/item/MZM_2009_85_2_a2/

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