2024-03-28T10:26:03Z
https://soar-ir.repo.nii.ac.jp/oai
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2022-12-14T04:16:11Z
1169:1170
Casoratian identities for the discrete orthogonal polynomials in discrete quantum mechanics with real shifts
Odake, Satoru
© The Author(s) 2017. Published by Oxford University Press on behalf of the Physical Society of Japan. / This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
In our previous papers [S. Odake and R. Sasaki, J. Phys. A 46, 245201 (2013) and S. Odake and R. Sasaki, J. Approx. Theory 193, 184 (2015)], the Wronskian identities for the Hermite, Laguerre, and Jacobi polynomials and the Casoratian identities for the Askey-Wilson polynomial and its reduced-form polynomials were presented. These identities are naturally derived through quantum-mechanical formulation of the classical orthogonal polynomials: ordinary quantum mechanics for the former and discrete quantum mechanics with pure imaginary shifts for the latter. In this paper we present the corresponding identities for the discrete quantum mechanics with real shifts. Infinitely many Casoratian identities for the q-Racah polynomial and its reduced-form polynomials are obtained.
Article
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS. 12:123A02 (2017)
OXFORD UNIV PRESS INC
2017-12
eng
journal article
VoR
http://hdl.handle.net/10091/00020586
https://soar-ir.repo.nii.ac.jp/records/19825
https://doi.org/10.1093/ptep/ptx165
10.1093/ptep/ptx165
2050-3911
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
12
123A02
https://soar-ir.repo.nii.ac.jp/record/19825/files/ptx165.pdf
application/pdf
342.4 kB
2018-05-08