The Umbral Transfer-Matrix Method. I. Foundations
Copyright policy )The Umbral Transfer-Matrix Method. I. Foundations
In this paper the author lays the foundation for the umbral transfer-matrix method based on G. C. Rota's realization of an umbra, merely a linear functional on a vector space of formal power series. It appears to be the first in a series of papers to be written by the author aiming to show how Rota's concept blended with the transfer-matrix method could be gainfully employed to compute generating functions for many difficult problems dealing with counting combinatorial objects.
- Temple University United States
Computational Theory and Mathematics, Exact enumeration problems, generating functions, Discrete Mathematics and Combinatorics, Umbral calculus, umbral transfer-matrix method, Theoretical Computer Science
Computational Theory and Mathematics, Exact enumeration problems, generating functions, Discrete Mathematics and Combinatorics, Umbral calculus, umbral transfer-matrix method, Theoretical Computer Science
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).21 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!