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Some identities of the r-Whitney numbers

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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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Authors and Affiliations

  1. Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing, 210044, People’s Republic of China

    István Mező

  2. Departamento de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia

    José L. Ramírez

Authors
  1. István Mező
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  2. José L. Ramírez
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Corresponding author

Correspondence to José L. Ramírez.

Additional information

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

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