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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
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MP4 302.9 Mb

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Video files:57




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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