The umbral transfer-matrix method. I. Foundations

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


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
Issue number1-2
StatePublished - Jul 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


Dive into the research topics of 'The umbral transfer-matrix method. I. Foundations'. Together they form a unique fingerprint.

Cite this