The umbral transfer-matrix method. I. Foundations

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Abstract

We lay the foundations for the Umbral Transfer-Matrix Method, based on Gian-Carlo Rota's seminal notion of the "umbra" as a linear functional on a vector space of formal power series. The full potential of Rota's concept, to be described in subsequent parts of this series of articles, emerges when it is implemented on a computer.

Original languageEnglish (US)
Pages (from-to)451-463
Number of pages13
JournalJournal of Combinatorial Theory. Series A
Volume91
Issue number1-2
DOIs
StatePublished - Jul 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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