A new algorithm for computing the multivariate Fa\`a di Bruno's formula
Combinatorics
2010-12-30 v1 Statistics Theory
Statistics Theory
Abstract
A new algorithm for computing the multivariate Fa\`a di Bruno's formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa\`a di Bruno's formula into a suitable multinomial expansion. We propose a MAPLE procedure whose computational times are faster compared with the ones existing in the literature. Some illustrative applications are also provided.
Keywords
Cite
@article{arxiv.1012.6008,
title = {A new algorithm for computing the multivariate Fa\`a di Bruno's formula},
author = {E. Di Nardo and G. Guarino and D. Senato},
journal= {arXiv preprint arXiv:1012.6008},
year = {2010}
}
Comments
The procedure in MAPLE for computing the multivariate Fa\`a di Bruno's formula is given in the Appendix 1 of the paper