Linearization coefficients for Sheffer polynomial
sets via lowering operators

Ben Cheikh, Y.; Chaggara, H.

doi:https://doi.org/10.1155/IJMMS/2006/54263

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 054263 | https://doi.org/10.1155/IJMMS/2006/54263

Linearization coefficients for Sheffer polynomial sets via lowering operators

Y. Ben Cheikh¹and H. Chaggara²

Received16 May 2005

Revised02 Mar 2006

Accepted12 Mar 2006

Published01 Jun 2006

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.

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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.

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