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Traditional session of MIAN-PDMI "Differential Equations and Dynamical Systems"
May 12, 2023 13:00–13:20
 


Глобальная асимптотика совместно ортогональных полиномов Эрмита $H_{(n_1,n_2)}(x)$ как решений дифференциального уравнения

A. V. Tsvetkova

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow




References
  1. A. I. Aptekarev, A. Branquinho, W. Van Assche, “Multiple orthogonal polynomials for classical weights”, Trans. Amer. Math. Soc., 355:10 (2003), 3887–3914
  2. V. P. Maslov, Operatornye metody, Nauka, M., 1973
  3. S. Yu. Dobrokhotov, A. V. Tsvetkova, “Asymptotics of multiple orthogonal Hermite polynomials $H_{n_1,n_2}(z,\alpha)$ determined by a third-order differential equation”, Rus. J. Math. Phys., 28:4 (2021), 439–454
 
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