Bell Polynomials and some of their Applications

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Abstract

We recall the most important properties and applications of the Bell polynomials, and in particular the possibility to represent symmetric functions of a countable set of numbers. The derivation of the so called Robert formulas for the reduction of the orthogonal invariants of a positive compact operator is also included.

Keywords

Differentiation of composite functions , Symmetric functions , Bell polynomials , Orthogonal invariants
  • Pierpaolo Natalini Universitá degli Studi Roma Tre, Dipartimento di Matematica, Largo San Leonardo Murialdo, 1, 00146 - Roma, Italia.
  • Paolo Emilio Ricci Universitá di Roma "La Sapienza", Dipartimento di Matematica, P. le A. Moro, 2, 00185, Roma, Italy.
  • Pages: 260–271
  • Date Published: 2003-10-01
  • Vol. 5 No. 3 (2003): CUBO, Matemática Educacional

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Published

2003-10-01

How to Cite

[1]
P. Natalini and P. E. Ricci, “Bell Polynomials and some of their Applications”, CUBO, vol. 5, no. 3, pp. 260–271, Oct. 2003.

Issue

Vol. 5 No. 3 (2003): CUBO, Matemática Educacional

Section

Articles