Meixner Multiple Orthogonal Polynomials on Interlacing Lattices

1. K. Mahler, Compos. Math. 19, 95 (1968).

   Google Scholar 

2. E. M. Nikishin and V. N. Sorokin, Rational Approximations and Orthogonality (Nauka, Moscow, 1988) [in Russian].

   Google Scholar 

3. V. N. Sorokin, Russ. Math. Surv. 57 (3), 535 (2002).

   Article  Google Scholar 

4. M. E. H. Ismail, Classical and Quantum Orthogonal Polynomials in One Variable, in Encyclopedia Math. Appl. (Cambridge Univ. Press, Cambridge, 2005), Vol. 98.

   Book  Google Scholar 

5. A. I. Aptekarev and A. Kuijlaars, Russ. Math. Surv. 66 (6), 1133 (2011).

   Article  Google Scholar 

6. S. P. Suetin, Math. Notes 113 (3), 441 (2023).

   Article  MathSciNet  Google Scholar 

7. A. I. Aptekarev, S. A. Denisov, and M. L. Yattselev, Trans. Am. Math. Soc. 373 (2), 875 (2020).

   Article  Google Scholar 

8. V. N. Sorokin, Sb. Math. 201 (10), 1539 (2010).

   Article  MathSciNet  Google Scholar 

9. V. N. Sorokin, Sb. Math. 211 (10), 1486 (2020).

   Article  MathSciNet  Google Scholar 

10. A. Aptekarev, A. Dyachenko, and V. Lysov, Axioms 12 (1) (2023).

    Article  Google Scholar 

11. 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.

    Google Scholar 

12. A. F. Nikiforov, S. K. Suskov, and V. B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable (Nauka, Moscow, 1985) [in Russian].

    Google Scholar 

13. A. V. Diachenko and V. G. Lysov, Preprinty IPM im. M. V. Keldysha 218 (2018).

    Google Scholar 

14. V. N. Sorokin, Math. Notes 113 (3), 420 (2023).

    Article  MathSciNet  Google Scholar 

15. G. Filipuk and W. Van Assche, SIGMA Symmetry Integrability Geom. Methods Appl. 14, Paper no. 88 (2018).

    Google Scholar 

16. V. Yu. Novokshenov, Math. Notes 112 (4), 598 (2022).

    Article  MathSciNet  Google Scholar 

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