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arXiv · 1506.08912

Generalized 2D Laguerre polynomials and their quaternionic extensions

Nasser Saad·K. Thirulogasanthar
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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.

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Nasser Saad, K. Thirulogasanthar. 2015-06-30. Generalized 2D Laguerre polynomials and their quaternionic extensions. https://arxiv.org/abs/1506.08912

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