A unified treatment of some expansion procedures in perturbation theory: Lie series,Faà di Bruno operators,and Arbogast's Rule |
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Authors: | James Murdock |
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Institution: | 1. Department of Mathematics, Iowa State University, Ames, Iowa, USA
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Abstract: | The problem of expanding the transform of a function under a near-identity change of coordinates is reviewed. A common derivation is given for Musen's Faà di Bruno operators and Kamel's Lie series, and both are related to Arbogast's Rule for composing power series. |
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