Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500412 | Reports on Mathematical Physics | 2017 | 13 Pages |
Abstract
There is a generalized oscillator-like algebra associated with every class of orthogonal polynomials, on the real line, satisfying a four-term nonsymmetric recurrence relation. This note presents necessary and sufficient conditions, on the coefficients of the recurrence relation, for such algebras to be of finite dimension. As examples, we discuss the dimensions of oscillator-like algebras associated with Laguerre and Jacobi polynomials.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
G. Honnouvo, K. Thirulogasanthar,