Multiple orthogonal polynomials AI Aptekarev Journal of Computational and Applied Mathematics 99 (1-2), 423-447, 1998 | 260 | 1998 |
Multiple orthogonal polynomials for classical weights A Aptekarev, A Branquinho, W Van Assche Transactions of the American Mathematical Society 355 (10), 3887-3914, 2003 | 202 | 2003 |
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 | 180 | 2005 |
The scattering problem for a discrete Sturm-Liouville operator AI Aptekarev, EM Nikishin Mathematics of the USSR-Sbornik 49 (2), 325, 1984 | 176 | 1984 |
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 | 147 | 1986 |
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 | 105 | 1995 |
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 | 97 | 1998 |
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 | 95 | 2000 |
Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials AI Aptekarev, VA Kalyagin, EB Saff Constructive Approximation 30, 175-223, 2009 | 82 | 2009 |
Sharp constants for rational approximations of analytic functions AI Aptekarev Sbornik: Mathematics 193 (1), 1, 2002 | 82 | 2002 |
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 | 80 | 1994 |
Asymptotics of Hermite-Padé polynomials AI Aptekarev, H Stahl Progress in approximation theory: An international perspective, 127-167, 1992 | 80 | 1992 |
Padé approximants for functions with branch points—strong asymptotics of Nuttall–Stahl polynomials AI Aptekarev, ML Yattselev | 73 | 2015 |
Strong asymptotics of multiply orthogonal polynomials for Nikishin systems AI Aptekarev Sbornik: Mathematics 190 (5), 631, 1999 | 72 | 1999 |
Padé approximants, continued fractions, and orthogonal polynomials AI Aptekarev, VI Buslaev, A Martínez-Finkelshtein, SP Suetin Russian Mathematical Surveys 66 (6), 1049, 2011 | 71 | 2011 |
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 | 71 | 2008 |
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 | 69 | 2004 |
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 | 68 | 2010 |
Hermite-Padé approximations and multiple orthogonal polynomial ensembles AI Aptekarev, A Kuijlaars Russian Mathematical Surveys 66 (6), 1133, 2011 | 64 | 2011 |
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 | 62 | 1997 |