A Convergence Theorem for a Kind of Composite Power Series Expansions
Received:September 06, 2007  Revised:November 22, 2007
Key Words: power series expansion   Fa\`{a} di Bruno's formula   convergence theorem.  
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Author NameAffiliation
HSU Leetsch Charles Department of Mathematics, Dalian University of Technology, Liaoning 116024, China 
XU Li Quan Wuxi Education Research Center, Jiangsu, 214001, China 
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Abstract:
      Presented in this paper is a convergence theorem for a kind of composite power series expansions whose coefficients can be expressed by using Fa\`{a} di Bruno's formula. A related problem is proposed as a remark, and a few examples are given as applications.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.04.013
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