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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 199, Pages 81–90 (Mi znsl5081)  

This article is cited in 10 scientific papers (total in 11 papers)

$q$-Hermite polynomials and $q$-oscillators

E. V. Damaskinsky, P. P. Kulish
Abstract: New $q$-analog of Hermite polynomials was suggested. This definition was based on the notion of deformed oscillator and related with symmetric, with respect to replacement $q\leftrightarrow q^{-1}$, form of $q$-analysis.
English version:
Journal of Mathematical Sciences, 1995, Volume 77, Issue 2, Pages 3069–3075
DOI: https://doi.org/10.1007/BF02367234
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. V. Damaskinsky, P. P. Kulish, “$q$-Hermite polynomials and $q$-oscillators”, Questions of quantum field theory and statistical physics. Part 11, Zap. Nauchn. Sem. POMI, 199, Nauka, St. Petersburg, 1992, 81–90; J. Math. Sci., 77:2 (1995), 3069–3075
Citation in format AMSBIB
\Bibitem{DamKul92}
\by E.~V.~Damaskinsky, P.~P.~Kulish
\paper $q$-Hermite polynomials and $q$-oscillators
\inbook Questions of quantum field theory and statistical physics. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 1992
\vol 199
\pages 81--90
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5081}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1168674}
\zmath{https://zbmath.org/?q=an:0929.33015}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 77
\issue 2
\pages 3069--3075
\crossref{https://doi.org/10.1007/BF02367234}
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  • https://www.mathnet.ru/eng/znsl/v199/p81
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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