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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A new characterization of ultraspherical polynomials
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by R. Lasser and J. Obermaier PDF
Proc. Amer. Math. Soc. 136 (2008), 2493-2498 Request permission

Abstract:

We characterize the class of ultraspherical polynomials in between all symmetric orthogonal polynomials on $[-1,1]$ via the special form of the representation of the derivatives $p’_{n+1}(x)$ by $p_k(x),\;\;k=0,...,n.$
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Additional Information
  • R. Lasser
  • Affiliation: Helmholtz Zentrum München, German Research Center for Environmental Health, Institute of Biomathematics and Biometry, Ingolstädter Landstraße 1, 85764 Neuherberg, Germany; and Münich University of Technology, Centre of Mathematics, 85748 Garching, Germany
  • Email: lasser@helmholtz-muenchen.de
  • J. Obermaier
  • Affiliation: Helmholtz Zentrum München, German Research Center for Environmental Health, Institute of Biomathematics and Biometry, Ingolstädter Landstraße 1, 85764 Neuherberg, Germany
  • Email: josef.obermaier@helmholtz-muenchen.de
  • Received by editor(s): March 6, 2007
  • Published electronically: March 19, 2008
  • Communicated by: Peter A. Clarkson
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2493-2498
  • MSC (2000): Primary 33C45; Secondary 42C05
  • DOI: https://doi.org/10.1090/S0002-9939-08-09378-7
  • MathSciNet review: 2390518