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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2008 Volume 84, Issue 4, Pages 483–495 (Mi mzm6134)
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.

UDC: 517.5

Received: 03.04.2006
Revised: 24.01.2007

DOI: 10.4213/mzm6134


 English version: Mathematical Notes, 2008, 84:4, 453–464

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© Steklov Math. Inst. of RAS, 2025