Normal ordering problem and the extensions of the Stirling grammar

S. M. Ma; T. Mansour; M. Schork

doi:10.1134/S1061920814020095

Normal ordering problem and the extensions of the Stirling grammar

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	242-255
Number of pages	14
Journal	Russian Journal of Mathematical Physics
Volume	21
Issue number	2
DOIs	https://doi.org/10.1134/S1061920814020095
State	Published - 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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10.1134/S1061920814020095

Cite this

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Normal ordering problem and the extensions of the Stirling grammar

Abstract

Bibliographical note

ASJC Scopus subject areas

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