Modified approach to generalized Stirling numbers via differential operators

B. S. El-Desouky, Nenad P. Cakić, Toufik Mansour

Research output: Contribution to journalArticlepeer-review


In this paper we give a modified approach to the generalized Stirling numbers of the second kind Sr, s (n, k) and Sr, s (k). These numbers were firstly defined by Carlitz and recently studied extensively by Blasiak, Penson and Solomon. This approach depends on the previous results obtained by Carlitz, Toscano and Cakić. We show that Blasiak's results can be investigated from Carlitz and Cakić's results. Some interesting combinatorial identities are obtained.

Original languageEnglish
Pages (from-to)115-120
Number of pages6
JournalApplied Mathematics Letters
Issue number1
StatePublished - Jan 2010


  • Boson operators
  • Combinatorial identities
  • Generalized Stirling numbers
  • Normal ordering
  • Stirling numbers

ASJC Scopus subject areas

  • Applied Mathematics


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