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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/83481

    Title: Zeros of the exceptional Laguerre and Jacobi polynomials
    Authors: Ho, Choon-Lin;Ryu Sasaki
    Contributors: 淡江大學物理學系
    Keywords: Mathematical Physics (math-ph);High Energy Physics - Theory (hep-th);Classical Analysis and ODEs (math.CA);Exactly Solvable and Integrable Systems (nlin.SI);Quantum Physics (quant-ph)
    Date: 2012-07-04
    Issue Date: 2013-04-11
    Publisher: New York: International Scholarly Research Network (I S R N)
    Abstract: An interesting discovery in the last two years in the field of mathematical physics has been the exceptional Xℓ Laguerre and Jacobi polynomials. Unlike the well-known classical orthogonal polynomials which start with constant terms, these new polynomials have the lowest degree ℓ = 1,2, . . ., and yet they form complete sets with respect to some positive-definite measure. In this paper, we study one important aspect of these new polynomials, namely, the behaviors of their zeros as some parameters of the Hamiltonians change.
    Relation: ISRN Mathematical Physics 2012(2012), 920475(27pages)
    DOI: 10.5402/2012/920475
    Appears in Collections:[物理學系暨研究所] 期刊論文

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