On the Stirling numbers associated with the meromorphic Weyl algebra

Toufik Mansour, Matthias Schork, Mark Shattuck

Research output: Contribution to journalArticlepeer-review


The generalized Stirling numbers introduced recently (Mansour and Schork, 2011 [5], Mansour et al., 2011 [6]) are considered in detail for the particular case s = 2 corresponding to the meromorphic Weyl algebra. A combinatorial interpretation in terms of perfect matchings is given for these meromorphic Stirling numbers and the connection to Bessel functions is discussed. Furthermore, two related q-polynomial identities are derived.

Original languageEnglish
Pages (from-to)1767-1771
Number of pages5
JournalApplied Mathematics Letters
Issue number11
StatePublished - Nov 2012


  • Generalized
  • Meromorphic
  • Stirling numbers
  • Weyl algebra

ASJC Scopus subject areas

  • Applied Mathematics


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