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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Harmonic polynomials and the divisibility problem
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by V. V. Karachik PDF
Proc. Amer. Math. Soc. 125 (1997), 3257-3258 Request permission

Abstract:

An easy way to construct a fist harmonic polynomial component of any polynomial is given.
References
  • V. V. Karachik, Polynomial solutions of systems of linear differential equations, Voprosy Vychisl. i Prikl. Mat. (Tashkent) 82 (1987), 41–48, 130 (Russian). MR 1066676
  • Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, No. 32, Princeton University Press, Princeton, N.J., 1971. MR 0304972
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Additional Information
  • V. V. Karachik
  • Affiliation: Institute of Cybernetics of the Academy of Science of Uzbekistan, 34, F. Hodzhaev St., Tashkent, 700143, Uzbekistan
  • ORCID: 0000-0002-3077-3595
  • Email: karachik@uwed.freenet.uz
  • Received by editor(s): June 9, 1995
  • Received by editor(s) in revised form: May 9, 1996
  • Communicated by: J. Marshall Ash
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 3257-3258
  • MSC (1991): Primary 31A05; Secondary 11C08
  • DOI: https://doi.org/10.1090/S0002-9939-97-03963-4
  • MathSciNet review: 1403135