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Found 64 Documents (Results 1–64)

Plancherel-Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations. (English. Russian original) Zbl 1510.33008

Izv. Math. 86, No. 1, 32-91 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 36-97 (2022).
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On spectrum of a class of Jacobi matrices on graph-trees and multiple orthogonal polynomials. (English) Zbl 1503.33009

Abakumov, Evgeny (ed.) et al., Extended abstracts fall 2019. Spaces of analytic functions: approximation, interpolation, sampling, SAFAIS 2019 program, Centre de Recerca Matemàtica, Barcelona, Spain, October–December 2019. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 12, 17-24 (2021).
MSC:  33C45
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Discrete Schrödinger operator on a tree, Angelesco potentials, and their perturbations. (English. Russian original) Zbl 1458.39015

Proc. Steklov Inst. Math. 311, 1-9 (2020); translation from Tr. Mat. Inst. Steklova 311, 5-13 (2020).
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Asymptotic behaviour of the information entropy of hydrogen-like quantum systems. (English. Russian original) Zbl 1425.81025

Russ. Math. Surv. 73, No. 5, 922-924 (2018); translation from Usp. Mat. Nauk 73, No. 5, 185-186 (2018).
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On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials. (English. Russian original) Zbl 1379.42011

Russ. Math. Surv. 72, No. 3, 389-449 (2017); translation from Usp. Mat. Nauk 72, No. 3, 3-64 (2017).
MSC:  42C05 31A99 41A21
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The Mhaskar-Saff variational principle and location of the shocks’ of certain hyperbolic equations. (English) Zbl 1350.41012

Hardin, Douglas P. (ed.) et al., Modern trends in constructive function theory. Constructive functions 2014 conference in honor of Ed Saff’s 70th birthday, Vanderbilt University, Nashville, TN, USA, May 26–30, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2534-0/pbk; 978-1-4704-2934-8/ebook). Contemporary Mathematics 661, 167-186 (2016).
MSC:  41A20 41A21 41A10
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V. A. Steklov’s problem of estimating the growth of orthogonal polynomials. (English. Russian original) Zbl 1342.33016

Proc. Steklov Inst. Math. 289, 72-95 (2015); translation from Tr. Mat. Inst. Steklova 289, 83-106 (2015).
MSC:  33C45 42C05
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Strong asymptotics for the Pollaczek multiple orthogonal polynomials. (English. Russian original) Zbl 1337.33006

Dokl. Math. 92, No. 3, 709-713 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393-397 (2015).
MSC:  33C47 15B52
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The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations. (English. Russian original) Zbl 1317.39001

Sb. Math. 205, No. 12, 1696-1719 (2014); translation from Mat. Sb. 205, No. 12, 17-40 (2014).
MSC:  39A06 39A22
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Asymptotics of \(L_p\)-norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states. (English) Zbl 1318.94027

Arvesú, Jorge (ed.) et al., Recent advances in orthogonal polynomials, special functions, and their applications. 11th international symposium, Universidad Carlos III de Madrid, Leganés, Spain, August 29 – September 2, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6896-6/pbk). Contemporary Mathematics 578, 19-29 (2012).
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Asymptotic \(\gamma\)-forms generated by multiple orthogonal polynomials. (English. Russian original) Zbl 1317.33004

Proc. Steklov Inst. Math. 272, Suppl. 2, S168-S173 (2011); translation from Sovrem. Probl. Mat. 9, 55-62 (2007).
MSC:  33C45 41A60 30E10
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Four-term recurrence relations for \(\gamma\)-forms. (English. Russian original) Zbl 1317.33008

Proc. Steklov Inst. Math. 272, Suppl. 2, S157-S161 (2011); translation from Sovrem. Probl. Mat. 9, 37-43 (2007).
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Hermite-Padé approximations and multiple orthogonal polynomial ensembles. (English. Russian original) Zbl 1243.41004

Russ. Math. Surv. 66, No. 6, 1133-1199 (2011); translation from Usp. Mat. Nauk 66, No. 6, 123-190 (2011).
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Padé approximants, continued fractions, and orthogonal polynomials. (English. Russian original) Zbl 1242.41014

Russ. Math. Surv. 66, No. 6, 1049-1131 (2011); translation from Usp. Mat. Nauk 66, No. 6, 37-122 (2011).
MSC:  41A21 30B70 42C05
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Asymptotic regimes in saturation zones for the C-D-kernels for an ensemble of Meixner orthogonal polynomials. (English. Russian original) Zbl 1218.30100

Russ. Math. Surv. 66, No. 1, 173-182 (2011); translation from Usp. Mat. Nauk. 66, No. 1, 181-182 (2011).
MSC:  30E15 33C45
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Asymptotic expansions for polynomials orthogonal with respect to a complex non-constant weight function. (English. Russian original) Zbl 1211.42025

Trans. Mosc. Math. Soc. 2007, 1-37 (2007); translation from Tr. Mosk. Mat. O.-va 68, 3-43 (2007).
MSC:  42C05 30C10 41A60
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Asymptotics of entropy integrals for orthogonal polynomials. (English. Russian original) Zbl 0892.33005

Dokl. Math. 53, No. 1, 47-49 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 346, No. 4, 439-441 (1996).
MSC:  33C45 94A17
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Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices. (English. Russian original) Zbl 0608.42016

Math. USSR, Sb. 53, 233-260 (1986); translation from Mat. Sb., Nov. Ser. 125(167), No. 2, 231-258 (1984).
Reviewer: A.G.Baskakov
MSC:  42C05 30E15
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