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Lie-theoretic generating relations of two variable Laguerre polynomials

Generating relations involving two variable Laguerre polynomials $L_{n}(x,y)$ are derived. The process involves the construction of a three dimensional Lie algebra isomorphic to special linear algebra $sl(2)$ with the help of Weisner's method by giving suitable interpretations to the index $n$...

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Detalles Bibliográficos
Autores principales: Subuhi Khan, Ghazala Yasmin
Lenguaje:eng
Publicado: 2002
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/645660
Descripción
Sumario:Generating relations involving two variable Laguerre polynomials $L_{n}(x,y)$ are derived. The process involves the construction of a three dimensional Lie algebra isomorphic to special linear algebra $sl(2)$ with the help of Weisner's method by giving suitable interpretations to the index $n$ of the polynomials $L_{n} (x,y)$.