Geodesic
Multipoint Hermite–Padé Approximations for Beta Functions
Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 217-232 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct multipoint Hermite–Padé approximations for two beta functions generating the Nikishin system with infinite discrete measures and unbounded supports. The asymptotic behavior of the approximants is studied. The result is interpreted in terms of the vector equilibrium problem in logarithmic potential theory in the presence of an external field and constraints on measure.
Mots-clés : Hermite–Padé approximation, Laurent series, Cauchy transform, Rodrigues formula, Lebesgue measure.
Keywords: beta function, pole of a meromorphic function, logarithmic potential, Mittag–Leffler expansion, Riemann sphere 
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A. A. Kandayan; V. N. Sorokin. Multipoint Hermite–Padé Approximations for Beta Functions. Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 217-232. http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a4/

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