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A Family of Generalized Stirling Numbers of the First Kind
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作者 Beih S. El-Desouky Nabela A. El-Bedwehy +1 位作者 abdelfattah mustafa fatma m. abdel menem 《Applied Mathematics》 2014年第10期1573-1585,共13页
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?... 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. 展开更多
关键词 STIRLING NUMBERS Comtet NUMBERS CREATION ANNIHILATION Differential Operator MAPLE Program
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