Abstract
In this paper we establish some algebraic properties involving r-Whitney numbers and other special numbers, which generalize various known identities. These formulas are deduced from Riordan arrays. Additionally, we introduce a generalization of the Eulerian numbers, called r-Whitney–Eulerian numbers and we show how to reduce some infinite summation to a finite one.
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The research of István Mező was supported by the Scientific Research Foundation of Nanjing University of Information Science and Technology, the Startup Foundation for Introducing Talent of NUIST. Project No.: S8113062001, and the National Natural Science Foundation for China. Grant No. 11501299. J. L. Ramírez was partially supported by Universidad Sergio Arboleda.
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Mező, I., Ramírez, J.L. Some identities of the r-Whitney numbers. Aequat. Math. 90, 393–406 (2016). https://doi.org/10.1007/s00010-015-0404-9
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DOI: https://doi.org/10.1007/s00010-015-0404-9