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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/83756

    Title: Confluence of apparent singularities in multi-indexed orthogonal polynomials: the Jacobi case
    Authors: Ho, C.-L.;Sasaki, R.;Takemura, K.
    Contributors: 淡江大學物理學系
    Date: 2013-03-04
    Issue Date: 2013-04-11
    Publisher: Bristol: Institute of Physics Publishing Ltd.
    Abstract: The multi-indexed Jacobi polynomials are the main part of the eigenfunctions of exactly solvable quantum mechanical systems obtained by certain deformations of the P¨oschl-Teller potential (Odake-Sasaki). By fine-tuning the parameter(s) of the P¨oschlTeller potential, we obtain several families of explicit and global solutions of certain second order Fuchsian differential equations with an apparent singularity of characteristic exponent −2 and −1. They form orthogonal polynomials over x ∈ (−1,1) with
    weight functions of the form (1 − x)α(1 + x)β/{(ax + b)4q(x)2}, in which q(x) is a polynomial in x.
    Relation: Journal of Physics A: Mathematical and Theoretical 46(11), 115205(27pages)
    DOI: 10.1088/1751-8113/46/11/115205
    Appears in Collections:[物理學系暨研究所] 期刊論文

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