Harmonic oscillator group and Laguerre 2D polynomials

被引：6
|
作者：
Khan, S [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2003年 / 52卷 / 02期
关键词：
Laguerre 2D polynomials; Lie algebra; generating relations;
D O I：
10.1016/S0034-4877(03)90014-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we derive some generating relations involving Laguerre 2D polynomials (L2DP) L-m,L-n (U; z, (z) over bar) of two variables with an arbitrary 2D matrix U as a parameter by relating these polynomials to the harmonic oscillator group G(0, 1). Certain special cases yielding inevitably many new and known generating relations for the polynomials related to L2DP are also discussed.
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页码：227 / 234
页数：8
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