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
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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