TY - JOUR
T1 - On Matrix and Determinant Identities for Composite Functions
AU - Xinghua Wang & Aimin Xu
JO - Journal of Computational Mathematics
VL - 1
SP - 16
EP - 25
PY - 2011
DA - 2011/02
SN - 29
DO - http://doi.org/10.4208/jcm.1007-m3067
UR - https://global-sci.org/intro/article_detail/jcm/8461.html
KW - Bell polynomial, Composite function, Determinant identity, Divided difference,
Matrix identity.
AB - <p style="text-align: justify;">We present some matrix and determinant identities for the divided differences of the composite functions, which generalize the divided difference form of Faà&nbsp;di Bruno&#39;s formula. Some recent published identities can be regarded as special cases of our results.</p>