Quasi-exactly solvable problems and the dual (q-)Hahn polynomials
Mathematical Physics
2009-10-31 v3 math.MP
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.
Cite
@article{arxiv.physics/9802045,
title = {Quasi-exactly solvable problems and the dual (q-)Hahn polynomials},
author = {I. V. Krasovsky},
journal= {arXiv preprint arXiv:physics/9802045},
year = {2009}
}
Comments
15 pages, LaTex; final version, presentation improved, title changed, to appear in J.Math.Phys