Two Elementary Applications of the Lagrange Expansion Formula
Received:September 18, 2014  Revised:November 22, 2014
Key Words: matrix inversion   Lagrange-B\"{u}rmann expansion formula   derivative identities   Pfaff   Cauchy   Leibniz product rule  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11071183; 11471237).
Author NameAffiliation
Jianfeng HUANG School of Science, Nantong University, Jiangsu 226019, P. R. China 
Xinrong MA Department of Mathematics, Soochow University, Jiangsu 215006, P. R. China 
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Abstract:
      The present paper offers two likely neglected applications of the classical Lagrange expansion formula. One is a unified approach to some age-old derivative identities originally due to Pfaff and Cauchy. Another is two explicit matrix inversions which may serve as common generalizations of some known inverse series relations.
Citation:
DOI:10.3770/j.issn:2095-2651.2015.03.003
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