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Trudy Moskovskogo Matematicheskogo Obshchestva, 2018, Volume 79, Issue 1, Pages 133–153
(Mi mmo611)
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This article is cited in 1 scientific paper (total in 1 paper)
Multipoint Hermite–Padé approximants for three beta functions
V. N. Sorokin Faculty of Mechanics and Mathematics, Moscow State University
Abstract:
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.
Key words and phrases:
Hermite–Padé approximants, orthogonal polynomials, equilibrium problems, saddle-point method, algebraic function, Riemann surface.
Received: 26.10.2017
Citation:
V. N. Sorokin, “Multipoint Hermite–Padé approximants for three beta functions”, Tr. Mosk. Mat. Obs., 79, no. 1, MCCME, M., 2018, 133–153; Trans. Moscow Math. Soc., 2018, 117–134
Linking options:
https://www.mathnet.ru/eng/mmo611 https://www.mathnet.ru/eng/mmo/v79/i1/p133
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Abstract page: | 170 | Full-text PDF : | 65 | References: | 30 |
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