A shortcut to asymptotics for orthogonal polynomials

DOI10.1016/0377-0427(94)90301-8zbMath0804.33008OpenAlexW2088073174MaRDI QIDQ1334764

Thomas Dehn

Publication date: 22 September 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90301-8

zbMATH Keywords

Padé approximantsdifference equationsrecurrence relationratio asymptoticsPoincaré's theorem\(\Delta^ 2\) method

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (1)

Otto Blumenthal (1876--1944) in retrospect

Cites Work

• A generalization of Poincaré's theorem for recurrence equations
• Toeplitz matrix techniques and convergence of complex weight Padé approximants
• Bi-orthogonality in rational approximation
• Calculation of poles of meromorphic functions with q-d, r-s and \(\epsilon\)-algorithms. Acceleration of these processes
• Remarks on E. A. Rahmanov's paper On the asymptotics of the ratio of orthogonal polynomials
• Orthogonal Polynomials with Ratio Asymptotics
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