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Discrete Orthogonality Relations for the Multi-Indexed Orthogonal Polynomials in Discrete Quantum Mechanics with Pure Imaginary Shifts

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  • معلومة اضافية
    • الموضوع:
      2021
    • Collection:
      Mathematics
      High Energy Physics - Theory
      Mathematical Physics
      Nonlinear Sciences
    • نبذة مختصرة :
      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.
      Comment: 32 pages. A reference and comments are added. To shorten the length, Section 4 and Appendix B are deleted. To appear in J.Math.Phys
    • الرقم المعرف:
      10.1063/5.0152234
    • الرقم المعرف:
      edsarx.2112.09358