Multidimensional bell polynomials of higher order

Computers and Mathematics with Applications

Volumn 50, Issue 10-12, 2005, Pages 1697-1708

  Bernardini, A ^a   Natalini, P ^b   Ricci, P E ^c  

^a UNIVERSITY OF NAVARRA   (Spain)

^b ROMA TRE UNIVERSITY   (Italy)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Bell polynomials; Differentiation of composite functions; Symmetric functions

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL METHODS; DIFFERENTIATION (CALCULUS); FUNCTIONS;

BELL POLYNOMIALS; DIFFERENTIATION OF COMPOSITE FUNCTIONS; SYMETRIC FUNCTIONS;

POLYNOMIALS;

EID: 28844463751     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.05.008     Document Type: Article

References (19)

1. E.T. Bell Exponential polynomials Annals of Mathematics 35 1934 258 277
2. J. Riordan An Introduction to Combinatorial Analysis 1958 Chichester The Netherlands
3. M.G. Kendall, and A. Stuart The Advanced Theory of Statistics 1958 C. Griffin and Co. U.K.
4. M. Bruschi, and P.E. Ricci I polinomi di Lucas e di Tchebycheff in più variabili Rend. Mat. 13 6 1980 507 530
5. A. Di Cave, and P.E. Ricci Sui polinomi di Bell ed i numeri di Fibonacci e di Bernoulli Le Matematiche 35 1980 84 95
6. T. Isoni, P. Natalini, and P.E. Ricci Symbolic computation of Newton sum rules for the zeros of orthogonal polynomials Proc. of the Workshop "Advanced Special Functions and Integration Methods" Melfi (PZ) 2000
7. Advanced Topics in Mathematics and Physics 2001 Aracne Editrice Roma London 97 112
8. Special Volume in Memory of W. Gross T. Isoni, P. Natalini, and P.E. Ricci Symbolic computation of Newton sum rules for the zeros of polynomial eigenfunctions of linear differential operators Numerical Algorithms 28 1-4 2001 215 227
9. A. Bernardini, and P.E. Ricci Bell polynomials and differential equations of Freud-type polynomials Mathl. Comput. Modelling 36 9/10 2002 1115 1119
10. Moscow A. Kurosh Cours d'Algèbre Supérieure Éditions Mir 1971
11. C. Cassisa, and P.E. Ricci Orthogonal invariants and the Bell polynomials Rend. Mat. Appl. 20 7 2000 293 303
12. D. Robert Invariants orthogonaux pour certaines classes d'operateurs Annales Mathém. Pures Appl. 52 1973 81 114
13. Turin, Italy F. Faà di Bruno Théorie des Formes Binaires 1876
14. S.M. Roman The Faà di Bruno formula Amer. Math. Monthly 87 1980 805 809
15. S.M. Roman, and G.C. Rota The umbral calculus Advanced in Math. 27 1978 95 188
16. P.N. Rai, and S.N. Singh Generalization of Bell polynomials and related operatorial formula, (in Hindi) Vijnana Parishad Anusandhan Patrika 25 1982 251 258
17. D. Fujiwara Generalized Bell polynomials Sugaku 42 1990 89 90
18. P. Natalini, and P.E. Ricci An extension of the Bell polynomials Computers Math. Applic. 47 4/5 2004 719 725
19. S. Noschese, and P.E. Ricci Differentiation of multivariable composite functions and Bell polynomials J. Comput. Anal. Appl. (JCAA) 5 2003 333 340