Title
Touchard like polynomials and generalized Stirling numbers.
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.
Year
DOI
Venue
2012
10.1016/j.amc.2011.12.016
Applied Mathematics and Computation
Keywords
Field
DocType
Touchard polynomials,Exponential operators,Stirling numbers
Mathematical analysis,Stirling number,Operator (computer programming),Bell polynomials,Touchard polynomials,Stirling's approximation,Stirling numbers of the second kind,Mathematics,Difference polynomials,Stirling numbers of the first kind
Journal
Volume
Issue
ISSN
218
12
0096-3003
Citations 
PageRank 
References 
3
0.50
1
Authors
4
Name
Order
Citations
PageRank
Giuseppe Dattoli1175.20
B. Germano296.13
Maria Renata Martinelli331.85
Paolo Emilio Ricci443.01