Generalized 2D Laguerre polynomials and their quaternionic extensions
Mathematical Physics
2015-07-01 v1 math.MP
Abstract
The analogous quaternionic polynomials of a class of bivariate orthogonal polynomials (arXiv: 1502.07256, 2014) introduced. The ladder operators for these quaternionic polynomials also studied. For the quaternionic case, the ladder operators are realized as differential operators in terms of the so-called Cullen derivatives. Some physically interesting summation and integral formulas are proved, and their physical relevance is also briefly discussed.
Cite
@article{arxiv.1506.08912,
title = {Generalized 2D Laguerre polynomials and their quaternionic extensions},
author = {Nasser Saad and K. Thirulogasanthar},
journal= {arXiv preprint arXiv:1506.08912},
year = {2015}
}
Comments
21 pages