Multi-indexed (q-)Racah polynomials
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概要
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As the second stage of the project multi-indexed orthogonal polynomials, we present, in the framework of 'discrete quantum mechanics' with real shifts in one dimension, the multi-indexed (q-)Racah polynomials. They are obtained from the (q-)Racah polynomials by the multiple application of the discrete analogue of the Darboux transformations or the Crum-Krein-Adler deletion of 'virtual state' vectors, in a similar way to the multi-indexed Laguerre and Jacobi polynomials reported earlier. The virtual state vectors are the 'solutions' of the matrix Schrodinger equation with negative 'eigenvalues', except for one of the two boundary points.
- IOP PUBLISHING LTDの論文
- 2012-09-00
IOP PUBLISHING LTD | 論文
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