Normal ordering problem and the extensions of the Stirling grammar

S. M. Ma, T. Mansour, M. Schork

Research output: Contribution to journalArticlepeer-review


The purpose of this paper is to investigate the connection between context-free grammars and normal ordered problem, and then to explore various extensions of the Stirling grammar. We present grammatical characterizations of several well known combinatorial sequences, including the generalized Stirling numbers of the second kind related to the normal ordered problem and the r-Dowling polynomials. Also, possible avenues for future research are described.

Original languageEnglish
Pages (from-to)242-255
Number of pages14
JournalRussian Journal of Mathematical Physics
Issue number2
StatePublished - 1 Apr 2014

Bibliographical note

Publisher Copyright:
© 2014, Pleiades Publishing, Ltd.

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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