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

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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. 
@article{MZM_2009_85_2_a2,
     author = {A. A. Kandayan},
     title = {Multipoint {Pad\'e} {Approximations} of the {Beta} {Function}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {189--203},
     publisher = {mathdoc},
     volume = {85},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_2_a2/}
}
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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/