TY - JOUR T1 - On Matrix and Determinant Identities for Composite Functions 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 -

We present some matrix and determinant identities for the divided differences of the composite functions, which generalize the divided difference form of FaĆ  di Bruno's formula. Some recent published identities can be regarded as special cases of our results.