Some polynomials associated with the $r$-Whitney numbers

Proceedings of the Indian Academy of Sciences. Mathematical sciences

JOSÉ L RAMÍREZ^4¹  CRISTINA B CORCINO^1,2²  ROBERTO B CORCINO^1,2³  ISTVÁN MEZO^3⁴ 

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

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

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

CC BY