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Asymptotic Behavior of Semiclassical Polynomials of Joint Orthogonality of Bessel Type
R. È. Akhmedov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
In this paper, for Bessel polynomials, we obtain asymptotics uniform on compact sets inside some domain and uniform on compact subsets of some curves.
Keywords:
Bessel polynomial, Hermite–Padé approximation, Pearson equation, Darboux method, Riemann surface, holomorphic function, generating function.
Received: 03.04.2006 Revised: 24.01.2007
Citation:
R. È. Akhmedov, “Asymptotic Behavior of Semiclassical Polynomials of Joint Orthogonality of Bessel Type”, Mat. Zametki, 84:4 (2008), 483–495; Math. Notes, 84:4 (2008), 453–464
Linking options:
https://www.mathnet.ru/eng/mzm6134https://doi.org/10.4213/mzm6134 https://www.mathnet.ru/eng/mzm/v84/i4/p483
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