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Перегляд Відділення математики за автором "Genest, V.X."

Репозиторій DSpace/Manakin

Перегляд Відділення математики за автором "Genest, V.X."

Сортувати за: Порядок: Результатів:

  • A ''Continuous'' Limit of the Complementary Bannai-Ito Polynomials: Chihara Polynomials 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    A novel family of −1 orthogonal polynomials called the Chihara polynomials is characterized. The polynomials are obtained from a ''continuous'' limit of the complementary Bannai-Ito polynomials, which are the kernel partners ...
  • Bispectrality of the Complementary Bannai-Ito Polynomials 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to ...
  • Embeddings of the Racah Algebra into the Bannai-Ito Algebra 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Embeddings of the Racah algebra into the Bannai-Ito algebra are proposed in two realizations. First, quadratic combinations of the Bannai-Ito algebra generators in their standard realization on the space of polynomials are ...

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