Orthogonal polynomials and the deformed Jordan plane
نویسندگان
چکیده
We consider the unital associative algebra A with two generators X, Z obeying defining relation [Z,X]=Z2+Δ. construct irreducible tridiagonal representations of A. Depending on value parameter Δ, these are associated to Jacobi matrices para-Krawtchouk, continuous Hahn, Hahn or polynomials.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125717