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International Journal of Mathematics and Mathematical Sciences - Volume 2006 2006, Article ID 54263, 15 pages



Département de Mathématiques, Faculté des Sciences de Monastir, Université de Monastir, Monastir 5019, Tunisia

Département de Préparationen Math-Physique, Institut Préparatoire aux Étudesd'Ingénieur de Monastir, Monastir 5019, Tunisia

Received 16 May 2005; Revised 2 March 2006; Accepted 12 March 2006

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The lowering operator σ associated with a polynomial set{Pn}n≥0 is an operator not depending on n and satisfying the relation σPn=nPn−1. In this paper, we express explicitly the linearization coefficients forpolynomial sets of Sheffer type using the corresponding loweringoperators. We obtain some well-known results as particular cases.





Autor: Y. Ben Cheikh and H. Chaggara

Fuente: https://www.hindawi.com/



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