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This article is cited in 20 scientific papers (total in 20 papers)
Strong asymptotics of the Hermite–Padé approximants for a system of Stieltjes functions with Laguerre weight
V. G. Lysov M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Abstract:
The Hermite–Padé approximants with common denominator are considered for a pair of Stieltjes functions with weights $x^\alpha e^{-\beta_1x}$ and $x^\alpha e^{-\beta_2x}$, where $\alpha>-1$, $\beta_2>\beta_1>0$. On the basis of the method of the Riemann–Hilbert matrix problem the strong asymptotics of these approximants are found in the case $\beta_2/\beta_1<3+2\sqrt2$. The limiting distribution of the zeros of the denominators of the Hermite–Padé approximants is shown to be equal to the equilibrium measure of a certain Nikishin system.
Received: 28.03.2005 and 14.10.2005
Citation:
V. G. Lysov, “Strong asymptotics of the Hermite–Padé approximants for a system of Stieltjes functions with Laguerre weight”, Mat. Sb., 196:12 (2005), 99–122; Sb. Math., 196:12 (2005), 1815–1840
Linking options:
https://www.mathnet.ru/eng/sm1444https://doi.org/10.1070/SM2005v196n12ABEH003741 https://www.mathnet.ru/eng/sm/v196/i12/p99
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Abstract page: | 532 | Russian version PDF: | 281 | English version PDF: | 11 | References: | 50 | First page: | 1 |
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