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Modified approach to generalized Stirling numbers via differential operators

✍ Scribed by B.S. El-Desouky; Nenad P. Cakić; Toufik Mansour

Book ID
104000773
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
439 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper we give a modified approach to the generalized Stirling numbers of the second kind S r,s (n, k) and S r,s (k). These numbers were firstly defined by Carlitz and recently studied extensively by Blasiak, Penson and Solomon. This approach depends on the previous results obtained by Carlitz, Toscano and Cakić. We show that Blasiak's results can be investigated from Carlitz and Cakić's results. Some interesting combinatorial identities are obtained.

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