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Differentiation of Multivariable Composite Functions and Bell Polynomials |
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| Authors: | Silvia Noschese Paolo E. Ricci |
| Affiliation: | (1) Dipartimento di Matematica !["ldquo"]("/content/m815387gx128r1w4/xlarge8220.gif") Guido CASTELNUOVO!["rdquo"]("/content/m815387gx128r1w4/xlarge8221.gif") ', Università degli Studi di Roma La Sapienza, Italy |
| 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. |
| Keywords: | Bell polynomials multivariable composite functions implicit functions Cauchy problem for ordinary differential equations |
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