2010/12/29 by Di Nardo, E., Guarino, G., Senato, D.
#05A40 #65C60 #68W30 #Combinatorics (math.CO) #FOS: Mathematics #Statistics Theory (math.ST)
paper · doi:10.48550/arxiv.1012.6008
A new algorithm for computing the multivariate Faà di Bruno's formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Faà 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.