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Blasiak, P. (2005) Combinatorics of Boson Normal Ordering and Some Applica-tions. PhD Thesis, University of Paris, Paris. http://arxiv.org/pdf/quant-ph/0507206.pdf

has been cited by the following article:

• TITLE: A Family of Generalized Stirling Numbers of the First Kind

  AUTHORS: Beih S. El-Desouky, Nabela A. El-Bedwehy, Abdelfattah Mustafa, Fatma M. Abdel Menem

  KEYWORDS: Stirling Numbers, Comtet Numbers, Creation, Annihilation, Differential Operator, Maple Program

  JOURNAL NAME: Applied Mathematics, Vol.5 No.10, June 5, 2014

  ABSTRACT: A modified approach via differential operator is given to derive a new family of generalized Stirling numbers of the first kind. This approach gives us an extension of the techniques given by El-Desouky[1]and Gould[2]. Some new combinatorial identities and many relations between different types of Stirling numbers are found. Furthermore, some interesting special cases of the generalized Stirling numbers of the first kind are deduced. Also, a connection between these numbers and the generalized harmonic numbers is derived. Finally, some applications in coherent states and matrix representation of some results obtained are given.