arXiv 1005.43092010-05-24math.QAmath-phmath.MPmath.NT

（p，q）-Rogers-Szego多项式与（p，q）-振子

(p,q)-Rogers-Szego polynomial and the (p,q)-oscillator

R. Jagannathan, R. Sridhar

备注：: 13 pages; Dedicated to the memory of Prof. Alladi Ramakrishnan; To appear in: "The Legacy of Alladi Ramakrishnan in the Mathematical Sciences'' (K. Alladi, J. Klauder, C. R. Rao, Editors) Springer, 2010

摘要：

通过用（p，q）-二项式系数代替经典Rogers-Szego多项式中的q-二项式系数，定义了一个（p，q）-模拟.正如Rogers-Szego多项式与q-振子代数相联系一样，（p，q）-Rogers-Szego多项式也与（p，q）-振子代数相联系。

英文摘要：

A (p,q)-analogue of the classical Rogers-Szego polynomial is defined by replacing the q-binomial coefficient in it by the (p,q)-binomial coefficient. Exactly like the Rogers-Szego polynomial is associated with the q-oscillator algebra it is found that the (p,q)-Rogers-Szego polynomial is associated with the (p,q)-oscillator algebra.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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