Quasi-exactly solvable problems and the dual (q-)Hahn polynomials
Krasovsky, I. V.
arXiv, 9802045 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-02-25
Classification:  Mathematical Physics 
@article{9802045,
     author = {Krasovsky, I. V.},
     title = {Quasi-exactly solvable problems and the dual (q-)Hahn polynomials},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9802045}
}

Krasovsky, I. V. Quasi-exactly solvable problems and the dual (q-)Hahn polynomials. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9802045/