Combinatorics of Second Derivative: Graphical Proof of Glaisher-Crofton Identity

We give a purely combinatorial proof of the Glaisher-Crofton identity which is derived from the analysis of discrete structures generated by the iterated action of the second derivative. The argument illustrates the utility of symbolic and generating function methodology of modern enumerative combin...

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Bibliographic Details
Main Authors: Pawel Blasiak, Gérard H. E. Duchamp, Karol A. Penson
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/9575626