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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 205–226 (Mi semr409)  
This article is cited in 6 scientific papers (total in 6 papers)

Real, complex and functional analysis

On some special polynomials and functions

V. V. Karachik

South Ural State University, Chelyabinsk
Full-text PDF (288 kB) Citations (6)
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Abstract: A full system of homogeneous harmonic polynomials on $n$ variables is constructed. It is orthogonal in two spaces. On the base of these polynomials a notion of $G$-functions is introduced. Connections of $G$-functions with Legendre polynomials and Chebyshev polynomials are obtained and a Rodrigues formula is proved.
Keywords: harmonic polynomials, Legendre and Chebyshev polynomials, Gegenbauer's polynomials, Rodrigues formula.
Received February 1, 2013, published March 14, 2013
Document Type: Article
UDC: 517.586
MSC: 33C47
Language: Russian
Citation: V. V. Karachik, “On some special polynomials and functions”, Sib. Èlektron. Mat. Izv., 10 (2013), 205–226
Citation in format AMSBIB
\Bibitem{Kar13}
\by V.~V.~Karachik
\paper On some special polynomials and functions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 205--226
\mathnet{http://mi.mathnet.ru/semr409}
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  • https://www.mathnet.ru/eng/semr/v10/p205
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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