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Generalizations of Abel’s and Hurwitz’s identities
- Source :
-
European Journal of Combinatorics . Oct2008, Vol. 29 Issue 7, p1535-1543. 9p. - Publication Year :
- 2008
-
Abstract
- Abstract: In 1826 N. Abel found a generalization of the binomial formula. In 1902 Abel’s theorem was further generalized by A. Hurwitz. In this paper we describe constructions that provide infinitely many identities each being a generalization of a Hurwitz’s identity. Moreover, we give combinatorial interpretations of all these identities as the forest volumes of certain directed graphs. [Copyright &y& Elsevier]
- Subjects :
- *GRAPH theory
*COMBINATORICS
*GRAPHIC methods
*REPRESENTATIONS of graphs
Subjects
Details
- Language :
- English
- ISSN :
- 01956698
- Volume :
- 29
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- European Journal of Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 32738114
- Full Text :
- https://doi.org/10.1016/j.ejc.2007.12.003