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. © 2011 Elsevier Inc. All rights reserved.
Touchard like polynomials and generalized Stirling numbers / Germano, Bruna; G., Dattoli; Martinelli, Maria Renata; Ricci, Paolo Emilio. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - 218:12(2012), pp. 6661-6665. [10.1016/j.amc.2011.12.016]
Touchard like polynomials and generalized Stirling numbers
GERMANO, Bruna;MARTINELLI, Maria Renata;RICCI, Paolo Emilio
2012
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. © 2011 Elsevier Inc. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
