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.
EnglishWe develop some extensions of the classical Bell polynomials, previously obtained, by introducing a further class of these polynomials called multidimensional Bell polynomials of higher order. They arise considering the derivatives of functions f in several variables φ(i), (i = 1, 2, …, m), where φ(i) are composite functions of different orders, i.e. φ(i) (t) = (i,1) ((i,2) (… ((i,ri) (t))), (i = 1, 2, …, m). We show that these new polynomials are always expressible in terms of the ordinary Bell polynomials, by means of suitable recurrence relations or formal multinomial expansions. Moreover, we give a recurrence relation for their computation.
A. BERNARDINI, NATALINI P, & P.E. RICCI (2005). Multi-dimensional Bell polinomials of higher order. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 50, 1697-1708.
| Titolo: | Multi-dimensional Bell polinomials of higher order |
| Autori: | |
| Data di pubblicazione: | 2005 |
| Rivista: | |
| Citazione: | A. BERNARDINI, NATALINI P, & P.E. RICCI (2005). Multi-dimensional Bell polinomials of higher order. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 50, 1697-1708. |
| Abstract: | We develop some extensions of the classical Bell polynomials, previously obtained, by introducing a further class of these polynomials called multidimensional Bell polynomials of higher order. They arise considering the derivatives of functions f in several variables φ(i), (i = 1, 2, …, m), where φ(i) are composite functions of different orders, i.e. φ(i) (t) = (i,1) ((i,2) (… ((i,ri) (t))), (i = 1, 2, …, m). We show that these new polynomials are always expressible in terms of the ordinary Bell polynomials, by means of suitable recurrence relations or formal multinomial expansions. Moreover, we give a recurrence relation for their computation. |
| Handle: | http://hdl.handle.net/11590/151083 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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