Universal expansion of the powers of a derivation (Q1900473)
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scientific article; zbMATH DE number 811290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal expansion of the powers of a derivation |
scientific article; zbMATH DE number 811290 |
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Universal expansion of the powers of a derivation (English)
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30 November 1995
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This paper determines the expansion of the powers of a generic derivation acting on an algebra of formal power series in infinitely many variables. The author obtains an algorithm for the calculation of such powers by the usage of rooted trees. Generalizations of Faa di Bruno coefficients appear. It is a very technical paper; one wishes that a more uniform standard of notations and definitions could be used throughout the mathematical literature.
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Lie derivation
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formal power series
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Faa di Bruno coefficients
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