Generalized Stirling Numbers of the First Kind: Modified Approach
نویسنده
چکیده
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.
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