Touchard like polynomials and generalized Stirling numbers |
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| Authors: | G Dattoli B Germano MR Martinelli PE Ricci |
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| Institution: | 1. Unità Tecnico Scientifica Tecnologie Fisiche Avanzate ENEA, Centro Ricerche Frascati, C.P. 65, Via E. Fermi, 45, 00044 Frascati Roma, Italy;2. Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università degli Studi di Roma “La Sapienza”, Via A. Scarpa, 14, 00161 Roma, Italy;3. Università Campus Bio-medico, Via Alvaro del Portillo, 21, 00128 Roma, Italy |
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| 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. |
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