The Legacy of Peter Wynn

Claude Brezinski, F. Alexander Norman and Michela Redivo-Zaglia
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Claude Brezinski: Laboratoire Paul Painlevé, Université de Lille, CNRS, UMR 8524, F-59000 Lille, France
F. Alexander Norman: Department of Mathematics, University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA
Michela Redivo-Zaglia: Department of Mathematics “Tullio Levi-Civita”, University of Padua, Via Trieste 63, 35121 Padua, Italy

Mathematics, 2021, vol. 9, issue 11, 1-45

Abstract: After the death of Peter Wynn in December 2017, manuscript documents he left came to our knowledge. They concern continued fractions, rational (Padé) approximation, Thiele interpolation, orthogonal polynomials, moment problems, series, and abstract algebra. The purpose of this paper is to analyze them and to make them available to the mathematical community. Some of them are in quite good shape, almost finished, and ready to be published by anyone willing to check and complete them. Others are rough notes, and need to be reworked. Anyway, we think that these works are valuable additions to the literature on these topics and that they cannot be left unknown since they contain ideas that were never exploited. They can lead to new research and results. Two unpublished papers are also mentioned here for the first time.

Keywords: orthogonal polynomials; extrapolation methods; Padé approximation; continued fractions; rational interpolation; complex analysis; software; abstract algebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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