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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On some special polynomials
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by V. V. Karachik
Proc. Amer. Math. Soc. 132 (2004), 1049-1058
DOI: https://doi.org/10.1090/S0002-9939-03-07281-2
Published electronically: November 25, 2003

Abstract:

New special functions called $G$-functions are introduced. Connections of $G$-functions with the known Legendre, Chebyshev and Gegenbauer polynomials are given. For $G$-functions the Rodrigues formula is obtained.
References
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Bibliographic Information
  • V. V. Karachik
  • Affiliation: 148, Behterev St., Apt. 6, 700105, Tashkent, Uzbekistan
  • Address at time of publication: Institute of Cybernetics, Uzbek Academy of Sciences, 34, F. Hodzhaev St., 700125, Tashkent, Uzbekistan
  • ORCID: 0000-0002-3077-3595
  • Email: karachik@uwed.freenet.uz, karachik@tkt.uz
  • Received by editor(s): November 5, 2002
  • Published electronically: November 25, 2003
  • Communicated by: Carmen C. Chicone
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1049-1058
  • MSC (2000): Primary 33D45; Secondary 31B05, 35C05, 33D50
  • DOI: https://doi.org/10.1090/S0002-9939-03-07281-2
  • MathSciNet review: 2045420