Bell Polynomials and some of their Applications

Pierpaolo Natalini; Paolo Emilio Ricci

Authors

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.

Keywords:

Differentiation of composite functions, Symmetric functions, Bell polynomials, Orthogonal invariants

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.