Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishIn this paper we extend the umbral calculus, developed to deal with difference equations on uniform lattices, to q-difference equations. We show that many properties considered for shift invariant difference operators satisfying the umbral calculus can be implemented to the case of the q-difference operators. This q-umbral calculus can be used to provide solutions to linear q-difference equations and q-differential delay equations. To illustrate the method, we will apply the obtained results to the construction of symmetry solutions for the q-heat equation.
Levi D, Negro J, & del Olmo MA (2004). Discrete q-derivatives and symmetries of q-difference equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 37(10), 3459-3473 [10.1088/0305-4470/37/10/010].
| Titolo: | Discrete q-derivatives and symmetries of q-difference equations | |
| Autori: | ||
| Data di pubblicazione: | 2004 | |
| Rivista: | ||
| Citazione: | Levi D, Negro J, & del Olmo MA (2004). Discrete q-derivatives and symmetries of q-difference equations. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 37(10), 3459-3473 [10.1088/0305-4470/37/10/010]. | |
| Abstract: | In this paper we extend the umbral calculus, developed to deal with difference equations on uniform lattices, to q-difference equations. We show that many properties considered for shift invariant difference operators satisfying the umbral calculus can be implemented to the case of the q-difference operators. This q-umbral calculus can be used to provide solutions to linear q-difference equations and q-differential delay equations. To illustrate the method, we will apply the obtained results to the construction of symmetry solutions for the q-heat equation. | |
| Handle: | http://hdl.handle.net/11590/136946 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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