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Trudy Moskovskogo Matematicheskogo Obshchestva, 2016, Volume 77, Issue 1, Pages 131–154
(Mi mmo585)
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This article is cited in 4 scientific papers (total in 4 papers)
On Salikhov's integral
V. N. Sorokin Department of Mechanics and Mathematics, Moscow State University, 119991 Moscow, Russia
Abstract:
We state a new interpolation problem, which we solve using Salikhov's integral. This was previously used in the theory of Diophantine approximations. We study the asymptotic behaviour of orthogonal polynomials related to this problem.
Key words and phrases:
Approximations of logarithms, Hermite–Padé approximations, saddle-point method, algebraic functions and Riemann surfaces, equilibrium logarithmic potentials.
Received: 29.10.2014 Revised: 13.04.2015
Citation:
V. N. Sorokin, “On Salikhov's integral”, Tr. Mosk. Mat. Obs., 77, no. 1, MCCME, M., 2016, 131–154; Trans. Moscow Math. Soc., 77 (2016), 107–126
Linking options:
https://www.mathnet.ru/eng/mmo585 https://www.mathnet.ru/eng/mmo/v77/i1/p131
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