International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 4, Pages 54263, 15 p.
doi:10.1155/IJMMS/2006/54263
Linearization coefficients for Sheffer polynomial sets via lowering operators
Y. Ben Cheikh1
and H. Chaggara2
1Département de Mathématiques, Faculté des Sciences de Monastir, Université de Monastir, Monastir 5019, Tunisia
2Département de Préparation
en Math-Physique, Institut Préparatoire aux Études
d'Ingénieur de Monastir, Monastir 5019, Tunisia
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 for polynomial sets of Sheffer type using the corresponding lowering operators. We obtain some well-known results as particular cases.