References
K. Mahler, Compos. Math. 19, 95 (1968).
E. M. Nikishin and V. N. Sorokin, Rational Approximations and Orthogonality (Nauka, Moscow, 1988) [in Russian].
V. N. Sorokin, Russ. Math. Surv. 57 (3), 535 (2002).
M. E. H. Ismail, Classical and Quantum Orthogonal Polynomials in One Variable, in Encyclopedia Math. Appl. (Cambridge Univ. Press, Cambridge, 2005), Vol. 98.
A. I. Aptekarev and A. Kuijlaars, Russ. Math. Surv. 66 (6), 1133 (2011).
S. P. Suetin, Math. Notes 113 (3), 441 (2023).
A. I. Aptekarev, S. A. Denisov, and M. L. Yattselev, Trans. Am. Math. Soc. 373 (2), 875 (2020).
V. N. Sorokin, Sb. Math. 201 (10), 1539 (2010).
V. N. Sorokin, Sb. Math. 211 (10), 1486 (2020).
A. Aptekarev, A. Dyachenko, and V. Lysov, Axioms 12 (1) (2023).
J. Baik, T. Kriecherbauer, K. T.-R. McLaughlin, and P. D. Miller, Discrete Orthogonal Polynomials. Asymptotics and Applications, in Ann. of Math. Stud. (Princeton Univ. Press, Princeton, NJ, 2007), Vol. 164.
A. F. Nikiforov, S. K. Suskov, and V. B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable (Nauka, Moscow, 1985) [in Russian].
A. V. Diachenko and V. G. Lysov, Preprinty IPM im. M. V. Keldysha 218 (2018).
V. N. Sorokin, Math. Notes 113 (3), 420 (2023).
G. Filipuk and W. Van Assche, SIGMA Symmetry Integrability Geom. Methods Appl. 14, Paper no. 88 (2018).
V. Yu. Novokshenov, Math. Notes 112 (4), 598 (2022).
Funding
This work was supported by the Moscow Center for Fundamental and Applied Mathematics under Agreement with the Ministry of Science and Higher Education of the Russian Federation no. 075-15-2022-283.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors of this work declare that they have no conflicts of interest.
Additional information
Translated from Matematicheskie Zametki, 2024, Vol. 115, pp. 634–638 https://doi.org/10.4213/mzm14231.
Publisher’s note. Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Aptekarev, A.I., Dyachenko, A.V. & Lysov, V.G. Meixner Multiple Orthogonal Polynomials on Interlacing Lattices. Math Notes 115, 642–646 (2024). https://doi.org/10.1134/S0001434624030374
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001434624030374