Laguerre-type Bell polynomials

Natalini, P.; Ricci, P. E.

doi:https://doi.org/10.1155/IJMMS/2006/45423

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 045423 | https://doi.org/10.1155/IJMMS/2006/45423

Laguerre-type Bell polynomials

P. Natalini¹and P. E. Ricci²

Received14 Oct 2005

Revised04 May 2006

Accepted09 May 2006

Published13 Aug 2006

Abstract

We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute the nth Laguerre-type derivatives of a composite function. Incidentally, we generalize a result considered by L. Carlitz in order to obtain explicit relationships between Bessel functions and generalized hypergeometric functions.

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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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