Some Identities on λ-analogues of r-Stirling Numbers of the Second Kind

Authors

  • Dae San Kim Sogang University
  • Hye Kyung Kim Daegu Catholic University
  • Taekyun Kim Department of MathematicsKwangwoon UniversitySeoulRepublic of Korea

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4441

Abstract

Recently, the λ-analogues of r-Stirling numbers of the first kind were studied by Kim-Kim. The aim of this paper is to introduce the λ-analogues of r-Stirling numbers of the second kind and to investigate some properties, recurrence relations and certain identities on those numbers. We also introduce the λ-analogues of Whitney-type r-Stirling numbers of the second and derive similar results to the case of the λ-analogues of r-Stirling numbers of the second kind. In addition, we consider the λ-analogues of Dowling polynomials and deduce a Dobinski-like formula.

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Published

2022-07-31

Issue

Vol. 15 No. 3: (July 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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How to Cite

Some Identities on λ-analogues of r-Stirling Numbers of the Second Kind. (2022). European Journal of Pure and Applied Mathematics, 15(3), 1054-1066. https://doi.org/10.29020/nybg.ejpam.v15i3.4441

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