Alexander Ivanovich Aptekarev (on his 60th birthday)

V. M. Buchstaber   ; V. N. Dubinin   ; V. A. Kaliaguine   ; B. S. Kashin   ; V. N. Sorokin   ; S. P. Suetin   ; D. N. Tulyakov   ; B. N. Chetverushkin   ; E. M. Chirka   ; A. A. Shkalikov

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 70 (2015) no. 5, pp. 965-973

Bibliographie

[1] A. I. Aptekarev, “Asymptotics of Hadamard determinants and the convergence of rows of Padé approximants for sums of exponentials”, Math. USSR-Sb., 41:4 (1982), 427–441 | DOI | MR | Zbl

[2] A. I. Aptekarev, E. M. Nikishin, “The scattering problem for a discrete Sturm–Liouville operator”, Math. USSR-Sb., 49:2 (1984), 325–355 | DOI | MR | Zbl

[3] A. I. Aptekarev, “Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices”, Math. USSR-Sb., 53:1 (1986), 233–260 | DOI | MR | Zbl

[4] A. I. Aptekarev, “Asymptotics of simultaneously orthogonal polynomials in the Angelesco case”, Math. USSR-Sb., 64:1 (1989), 57–84 | DOI | MR | Zbl

[5] A. I. Aptekarev, “Asymptotics of orthogonal polynomials in a neighborhood of the endpoints of the interval of orthogonality”, Russian Acad. Sci. Sb. Math., 76:1 (1993), 35–50 | DOI | MR | Zbl

[6] A. I. Aptekarev, V. S. Buyarov, I. S. Degeza, “Asymptotic behavior of the $L^p$-norms and the entropy for general orthogonal polynomials”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 373–395 | DOI | MR | Zbl

[7] A. I. Aptekarev, F. Marcellán, I. A. Rocha, “Semiclassical multiple orthogonal polynomials and the properties of Jacobi–Bessel polynomials”, J. Approx. Theory, 90:1 (1997), 117–146 | DOI | MR | Zbl

[8] A. I. Aptekarev, “Multiple orthogonal polynomials”, J. Comput. Appl. Math., 99:1-2 (1998), 423–447 | DOI | MR | Zbl

[9] A. Aptekarev, V. Kaliaguine, “Complex rational approximation and difference operators”, Proceedings of the 3rd International Conference on Functional Analysis and Approximation Theory, Vol. I, Rend. Circ. Mat. Palermo (2) Suppl., 52 (1998), 3–21 | MR | Zbl

[10] A. I. Aptekarev, “Strong asymptotics of multiply orthogonal polynomials for Nikishin systems”, Sb. Math., 190:5 (1999), 631–669 | DOI | DOI | MR | Zbl

[11] A. Aptekarev, V. Kaliaguine, J. Van Iseghem, “The genetic sums' representation for the moments of a system of Stieltjes functions and its application”, Constr. Approx., 16:4 (2000), 487–524 | DOI | MR | Zbl

[12] A. I. Aptekarev, “Sharp constants for rational approximations of analytic functions”, Sb. Math., 193:1 (2002), 1–72 | DOI | DOI | MR | Zbl

[13] A. I. Aptekarev, A. Branquinho, W. Van Assche, “Multiple orthogonal polynomials for classical weights”, Trans. Amer. Math. Soc., 355:10 (2003), 3887–3914 | DOI | MR | Zbl

[14] A. I. Aptekarev, È. P. Kazandjan, L. R. Volevich, “Numerical method of solving the direct and inverse problems of conformal mappings”, Russ. J. Math. Phys., 11:3 (2004), 277–288 | MR | Zbl

[15] A. I. Aptekarev, L. R. Volevich, “Some mathematical aspects of potential flow computation”, Russ. J. Math. Phys., 11:3 (2004), 259–276 | MR | Zbl

[16] A. I. Aptekarev, P. M. Bleher, A. B. J. Kuijlaars, “Large $n$ limit of Gaussian random matrices with external source. II”, Comm. Math. Phys., 259:2 (2005), 367–389 | DOI | MR | Zbl

[17] A. I. Aptekarev, G. López Lagomasino, I. A. Rocha, “Ratio asymptotics of Hermite–Padé polynomials for Nikishin systems”, Sb. Math., 196:8 (2005), 1089–1107 | DOI | DOI | MR | Zbl

[18] A. I. Aptekarev, V. Kalyagin, G. López Lagomasino, I. A. Rocha, “On the limit behaviour of recurrence coefficients for multiple orthogonal polynomials”, J. Approx. Theory, 139:1-2 (2006), 346–370 | DOI | MR | Zbl

[19] A. I. Aptekarev, Yu. G. Rykov, “On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory”, Russ. J. Math. Phys., 13:1 (2006), 4–12 | DOI | MR | Zbl

[20] A. I. Aptekarev (red.), Ratsionalnye priblizheniya postoyannoi Eilera i rekurrentnye sootnosheniya, Sbornik statei, Sovr. probl. matem., 9, MIAN, M., 2007, 84 pp. | DOI | Zbl

[21] A. I. Aptekarev, J. S. Dehesa, A. Martínez-Finkelshtein, R. Yáñez, “Discrete entropies of orthogonal polynomials”, Constr. Approx., 30:1 (2009), 93–119 | DOI | MR | Zbl

[22] A. I. Aptekarev, V. A. Kalyagin, E. B. Saff, “Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials”, Constr. Approx., 30:2 (2009), 175–223 | DOI | MR | Zbl

[23] A. I. Aptekarev, V. G. Lysov, D. N. Tulyakov, “Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source”, Theoret. and Math. Phys., 159:1 (2009), 448–468 | DOI | DOI | MR | Zbl

[24] A. I. Aptekarev, V. G. Lysov, “Systems of Markov functions generated by graphs and the asymptotics of their Hermite–Padé approximants”, Sb. Math., 201:2 (2010), 183–234 | DOI | DOI | MR | Zbl

[25] A. I. Aptekarev, A. Kuijlaars, “Hermite–Padé approximations and multiple orthogonal polynomial ensembles”, Russian Math. Surveys, 66:6 (2011), 1133–1199 | DOI | DOI | MR | Zbl

[26] A. I. Aptekarev, V. G. Lysov, D. N. Tulyakov, “Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials”, Sb. Math., 202:2 (2011), 155–206 | DOI | DOI | MR | Zbl

[27] A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of Meixner polynomials and Christoffel–Darboux kernels”, Trans. Moscow Math. Soc., 2012 (2012), 67–106 | DOI | MR | Zbl

[28] A. I. Aptekarev, “Spectral problems of high-order recurrences”, Spectral theory and differential equations, Amer. Math. Soc. Transl. Ser. 2, 233, Amer. Math. Soc., Providence, RI, 2014, 43–61 | MR

[29] A. Aptekarev, J. Arvesú, “Asymptotics for multiple Meixner polynomials”, J. Math. Anal. Appl., 411:2 (2014), 485–505 | DOI | MR

[30] A. I. Aptekarev, D. N. Tulyakov, “The leading term of the Plancherel–Rotach asymptotic formula for solutions of recurrence relations”, Sb. Math., 205:12 (2014), 1696–1719 | DOI | DOI | MR | Zbl