Lie-theoretic generating relations of Hermite 2D polynomials

Lie-theoretic generating relations of Hermite 2D polynomials

In this paper, we derive some generating relations involving Hermite 2D polynomials (H2DP) H m, 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...

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Veröffentlicht in:Journal of computational and applied mathematics 2003-11, Vol.160 (1), p.139-146
Hauptverfasser: Khan, Subuhi, Pathan, M.A.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Generating relations
Hermite 2D polynomials
Lie algebra
Mathematical analysis
Mathematics
Sciences and techniques of general use
Special functions
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Zusammenfassung:In this paper, we derive some generating relations involving Hermite 2D polynomials (H2DP) H m, 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.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(03)00634-4