Geodesic
Multipoint Hermite--Pad\'e approximants for three beta functions
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 79 (2018) no. 1, pp. 133-153

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This paper is concerned with joint multipoint rational approximants with a common denominator for three beta functions. The limit distributions of the zeros of the denominators are obtained in terms of equilibrium logarithmic potentials and in terms of meromorphic functions on Riemann surfaces. 
@article{MMO_2018_79_1_a3,
     author = {V. N. Sorokin},
     title = {Multipoint {Hermite--Pad\'e} approximants for three beta functions},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {133--153},
     publisher = {mathdoc},
     volume = {79},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMO_2018_79_1_a3/}
}
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V. N. Sorokin. Multipoint Hermite--Pad\'e approximants for three beta functions. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 79 (2018) no. 1, pp. 133-153. http://geodesic.mathdoc.fr/item/MMO_2018_79_1_a3/