Generating functions on extended Jacobi polynomials from Lie group view point.

Título inglés	Generating functions on extended Jacobi polynomials from Lie group view point.
Título español	Funciones generatrices sobre polinomios de Jacobi generalizados desde el punto de vista de los grupos de Lie.
Autor/es	Mukherjee, Manik Chandra
Organización	Calcuta, India
Revista	0214-1493
Publicación	1996, 40 (1): 3-13, 9 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Generating functions play a large role in the study of special functions. The present paper deals with the derivation of some novel generating functions of extended Jacobi polynomials by the application of [the] group-theoretic method introduced by Louis Weisner. In fact, by suitably interpreting the index (n) and the parameter (β) of the polynomial under consideration we define four linear partial differential operators and on showing that they generate a Lie-algebra, we obtain a new generating relation (3.3) as the main result of our investigation. Furthermore, some generating functions of Laguerre, Hermite, Bessel and Jacobi polynomials are obtained as the special cases of our main result. Some applications of our results are also pointed out.
Clasificación UNESCO	120223
Palabras clave español	Funciones especiales ; Función generatriz ; Polinomios de Jacobi ; Polinomios de Hermite ; Polinomios de Laguerre
Código MathReviews	MR1397003
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