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Stanimirovic, S. (2011) A Generalization of the Pascal Matrix and Its Properties. Series Mathematics and Informatic, 26, 17-27.

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• TITLE: The Generalized r-Whitney Numbers

  AUTHORS: B. S. El-Desouky, F. A. Shiha, Ethar M. Shokr

  KEYWORDS: Whitney Numbers, r-Whitney Numbers, p-Stirling Numbers, Generalized q-Stirling Numbers, Generalized Stirling Numbers

  JOURNAL NAME: Applied Mathematics, Vol.8 No.1, January 26, 2017

  ABSTRACT: 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.