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Alexander Aptekarev
Alexander Aptekarev
M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow M. V. Lomonosov Moscow State Univ
Verifierad e-postadress på keldysh.ru
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Multiple orthogonal polynomials
AI Aptekarev
Journal of Computational and Applied Mathematics 99 (1-2), 423-447, 1998
2631998
Multiple orthogonal polynomials for classical weights
A Aptekarev, A Branquinho, W Van Assche
Transactions of the American Mathematical Society 355 (10), 3887-3914, 2003
2062003
Large n limit of Gaussian random matrices with external source, part II
AI Aptekarev, PM Bleher, ABJ Kuijlaars
Communications in mathematical physics 259 (2), 367-389, 2005
1822005
The scattering problem for a discrete Sturm-Liouville operator
AI Aptekarev, EM Nikishin
Mathematics of the USSR-Sbornik 49 (2), 325, 1984
1771984
Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices
AI Aptekarev
Mathematics of the USSR-Sbornik 53 (1), 233, 1986
1471986
Asymptotic behavior of the Lp-norms and the entropy for general orthogonal polynomials
AI Aptekarev, VS Buyarov, IS Degeza
Sbornik: Mathematics 82 (2), 373, 1995
1051995
Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials
JS Dehesa, RJ Yáñez, AI Aptekarev, V Buyarov
Journal of Mathematical Physics 39 (6), 3050-3060, 1998
971998
The genetic sums' representation for the moments of a system of Stieltjes functions and its application
A Aptekarev, V Kaliaguine, J Van Iseghem
Constructive approximation 16, 487-524, 2000
962000
Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials
AI Aptekarev, VA Kalyagin, EB Saff
Constructive Approximation 30, 175-223, 2009
832009
Sharp constants for rational approximations of analytic functions
AI Aptekarev
Sbornik: Mathematics 193 (1), 1, 2002
832002
Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials
AI Aptekarev, JS Dehesa, RJ Yáñez
Journal of Mathematical Physics 35 (9), 4423-4428, 1994
811994
Asymptotics of Hermite-Padé polynomials
AI Aptekarev, H Stahl
Progress in approximation theory: An international perspective, 127-167, 1992
801992
Padé approximants for functions with branch points—strong asymptotics of Nuttall–Stahl polynomials
AI Aptekarev, ML Yattselev
742015
Padé approximants, continued fractions, and orthogonal polynomials
AI Aptekarev, VI Buslaev, A Martínez-Finkelshtein, SP Suetin
Russian Mathematical Surveys 66 (6), 1049, 2011
732011
Strong asymptotics of multiply orthogonal polynomials for Nikishin systems
AI Aptekarev
Sbornik: Mathematics 190 (5), 631, 1999
731999
Asymptotics of Hermite–Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0)
AI Aptekarev, ABJ Kuijlaars, W Van Assche
International Mathematics Research Papers 2008, rpm007, 2008
722008
Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants
AI Aptekarev, VG Lysov
Sbornik: Mathematics 201 (2), 183, 2010
692010
Scalar and matrix Riemann–Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight
AI Aptekarev, W Van Assche
Journal of Approximation Theory 129 (2), 129-166, 2004
692004
Hermite-Padé approximations and multiple orthogonal polynomial ensembles
AI Aptekarev, A Kuijlaars
Russian Mathematical Surveys 66 (6), 1133, 2011
652011
Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
AI Aptekarev, A Branquinho, F Marcellán
Journal of computational and applied mathematics 78 (1), 139-160, 1997
641997
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Artiklar 1–20