Differentiation of Multivariable Composite Functions and Bell Polynomials

  • Silvia Noschese
  • Paolo E. Ricci
Article

DOI: 10.1023/A:1023227705558

Cite this article as:
Noschese, S. & Ricci, P.E. Journal of Computational Analysis and Applications (2003) 5: 333. doi:10.1023/A:1023227705558

Abstract

We generalize the Bell polynomials in order to derive an operational tool for the differentiation of composite functions in several variables. In particular we show a formula that relates the Bell polynomials for multivariable composite functions to the classical ones. Some applications are suggested.

Bell polynomials multivariable composite functions implicit functions Cauchy problem for ordinary differential equations 

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Silvia Noschese
    • 1
  • Paolo E. Ricci
    • 1
  1. 1.Dipartimento di Matematica “Guido CASTELNUOVO”'Università degli Studi di Roma “La Sapienza”Italy

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