Touchard like polynomials and generalized Stirling numbers
Category Theory
2010-10-29 v1
Abstract
The theory of Touchard polynomials is generalized using a method based on the definition of exponential operators, which extend the notion of the shift operator. The proposed technique, along with the use of the relevant operational formalism, allows the straightforward derivation of properties of this family of polynomials and their relationship to different forms of Stirling numbers.
Keywords
Cite
@article{arxiv.1010.5934,
title = {Touchard like polynomials and generalized Stirling numbers},
author = {G. Dattoli and B. Germano and M. R. Martinelli and P. E. Ricci},
journal= {arXiv preprint arXiv:1010.5934},
year = {2010}
}