Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: B. S. El-Desouky
Pages: [43] - [59]
Received Date: February 13, 2011
Submitted by:
A modified approach via differential operator is given to derive a generalization of Stirling numbers of the first kind. This approach combines the two techniques given by Cakic [3] and Blasiak [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. Finally, a connection between generalized Stirling numbers of the first and second kind is obtained.
Stirling numbers, Stirling numbers, creation,
annihilation, differential operator, Maple program.
