Lie-theoretic generating relations of Hermite 2D polynomials

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摘要

In this paper, we derive some generating relations involving Hermite 2D polynomials (H2DP) Hm,n(U;x,y), of two variables with an arbitrary 2D matrix U as parameter using Lie-theoretic approach. Certain (known or new) generating relations for the polynomials related to H2DP are also obtained as special cases.

论文关键词：33C45,33C50,33C80,Hermite 2D polynomials,Lie algebra,Generating relations

论文评审过程：Received 1 October 2002, Revised 30 March 2003, Available online 22 September 2003.

论文官网地址：https://doi.org/10.1016/S0377-0427(03)00634-4