The Generalized r-Whitney Numbers

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DOI: 10.4236/am.2017.81010    478 Downloads   614 Views  


In this paper, we define the generalized r-Whitney numbers of the first and second kind. Moreover, we drive the generalized Whitney numbers of the first and second kind. The recurrence relations and the generating functions of these numbers are derived. The relations between these numbers and generalized Stirling numbers of the first and second kind are deduced. Furthermore, some special cases are given. Finally, matrix representation of the relations between Whitney and Stirling numbers is given.

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El-Desouky, B. , Shiha, F. and Shokr, E. (2017) The Generalized r-Whitney Numbers. Applied Mathematics, 8, 117-132. doi: 10.4236/am.2017.81010.


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