• Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/128/03/0027

    • Keywords

       

      Combinatorial identities; $r$-Whitney number; $r$-Dowling polynomial; $r$-Whitney–Fubini polynomial; $r$-Eulerian–Fubini polynomial

    • Abstract

       

      In the present article, we study three families of polynomials associated with the $r$-Whitney numbers of the second kind. They are the $r$-Dowling polynomials, $r$-Whitney–Fubini polynomials and the $r$-Eulerian–Fubini polynomials. Then we derive several combinatorial results by using algebraic arguments (Rota’s method), combinatorial arguments (set partitions) and asymptotic methods.

    • Author Affiliations

       

      CRISTINA B CORCINO1 2 ROBERTO B CORCINO1 2 ISTVÁN MEZO3 JOSÉ L RAMÍREZ4

      1. Department of Mathematics, Cebu Normal University, Osmeña Blvd., 6000 Cebu City, Philippines
      2. Mathematical Sciences Division, Department of Science and Technology, National Research Council of the Philippines, General Santos Ave., 1631 Taguig, Metro Manila, Philippines
      3. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, People’s Republic of China
      4. Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia
    • Dates

       
  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.