dorsal/arxiv
View SchemaQuasi-exactly solvable problems and the dual (q-)Hahn polynomials
| Authors | I. V. Krasovsky |
|---|---|
| Categories | |
| ArXiv ID | physics/9802045 |
| URL | https://arxiv.org/abs/physics/9802045 |
| DOI | 10.1063/1.533143 |
| Journal | J. Math. Phys. 41, 569 (2000) |
Abstract
A second-order differential (q-difference) eigenvalue equation is constructed whose solutions are generating functions of the dual (q-)Hahn polynomials. The fact is noticed that these generating functions are reduced to the (little q-)Jacobi polynomials, and implications of this for quasi-exactly solvable problems are studied. A connection with the Azbel-Hofstadter problem is indicated.
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"abstract": "A second-order differential (q-difference) eigenvalue equation is constructed\nwhose solutions are generating functions of the dual (q-)Hahn polynomials. The\nfact is noticed that these generating functions are reduced to the (little\nq-)Jacobi polynomials, and implications of this for quasi-exactly solvable\nproblems are studied. A connection with the Azbel-Hofstadter problem is\nindicated.",
"arxiv_id": "physics/9802045",
"authors": [
"I. V. Krasovsky"
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"doi": "10.1063/1.533143",
"journal_ref": "J. Math. Phys. 41, 569 (2000)",
"title": "Quasi-exactly solvable problems and the dual (q-)Hahn polynomials",
"url": "https://arxiv.org/abs/physics/9802045"
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