Another type of forward and backward shift relations for orthogonal polynomials in the Askey scheme
DOI10.1016/J.JMAA.2024.128591zbMATH Open1548.33013MaRDI QIDQ6607353
Publication date: 18 September 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
orthogonal polynomialsAskey schemefactorization of the Hamiltonianforward and backward shift relations
Exactly and quasi-solvable systems arising in quantum theory (81U15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference operators (39A70) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Special quantum systems, such as solvable systems (81Q80)
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- New finite-type multi-indexed orthogonal polynomials obtained from state-adding Darboux transformations
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