Weisner's methodic survey of modified laguerre polynomials
- Autores: A. K. Ghongdar, Giovanna Pittaluga, Laura Sacripante
- Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 9, Nº. 1, 1997, págs. 23-32
- Idioma: inglés
- Enlaces
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Resumen
A good number of generating functions involving modified Laguerre polynomials La,b,m,n(x) have been derived by sorne researches ((4-7]) by suitable single interpretation to (i) the index n, to (ii) the parameter m and by suitable double interpretation to (iii) the index n and the parameter m simultaneously while applying group theoretic method of obtaining generating functions introduced by L.Weisner in the study of modified Laguerre polynomials. In this article the authors have made a modest attempt to present a comprehensive Weisner's methodic su rvey on the polynotnials under consideration.
Moreover they have shown that the results obtained by double interpretation while studying La,b,m, n(x) by the appl ication of We isner's method can be easi ly derived from the results obtained by single interpreta.t.ion to the index n while investiga.ting La,b,m-n,n(x), a modification of L a.b,m,n(x) by the sa111e method.
