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arXiv:physics/9802045 [math-ph]AbstractReferencesReviewsResources

Quasi-exactly solvable problems and the dual (q-)Hahn polynomials

I. V. Krasovsky

Published 1998-02-25, updated 1999-09-17Version 3

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.

Comments: 15 pages, LaTex; final version, presentation improved, title changed, to appear in J.Math.Phys
Journal: J. Math. Phys. 41, 569 (2000)
Categories: math-ph, math.MP
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