Discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts

DOI10.1063/5.0152234zbMATH Open1512.33012arXiv2112.09358MaRDI QIDQ6097832

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Publication date: 7 June 2023

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Abstract: The discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts are investigated. We show that the discrete orthogonality relations hold for the case-(1) multi-indexed orthogonal polynomials of continuous Hahn, Wilson and Askey-Wilson types, and conjecture their normalization constants.

Full work available at URL: https://arxiv.org/abs/2112.09358

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