Timeline for Alternative definition of the Lagrange Inversion formula
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 23, 2016 at 15:14 | comment | added | Ira Gessel | A combinatorial approach to Lie series has been given by Gilbert Labelle in two papers: MR0814421 (87c:05007) Une combinatoire sous-jacente au théorème des fonctions implicites. [A combinatorial theory underlying the implicit function theorem] J. Combin. Theory Ser. A 40 (1985), no. 2, 377–393 and MR0787718 (86j:05015) Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. [Combinatorial bloomings applied to the multidimensional inversion of formal series] J. Combin. Theory Ser. A 39 (1985), no. 1, 52–82. | |
| Jan 23, 2016 at 3:06 | comment | added | Tom Copeland | @IraGessel, this might be a good intro to the historiy of the method, not sure if it includes anything about Abel though: books.google.com/…. I typed in the title and Graves to see a google books excerpt | |
| Jan 7, 2016 at 16:57 | comment | added | Ira Gessel | This kind of expansion is called a Lie series. I didn't check the author's derivation, but formulas of this type are well known. Unfortunately I don't know of a really good introductory reference. | |
| Jan 13, 2015 at 9:29 | comment | added | Tom Copeland | See for example this mathoverflow.net/questions/145555/…. This method for finding the comp inverse can be applied to formal power series and allows formulations in different "coordinate/indeterminate" systems related to very interesting combinatorics. Very old method at least as far back as the first half of the 1800s. | |
| Jan 12, 2015 at 22:57 | history | edited | user119264 | CC BY-SA 3.0 |
added 3 characters in body
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| Jan 12, 2015 at 22:48 | history | asked | user119264 | CC BY-SA 3.0 |