Russian Journal of Mathematical Physics

, Volume 25, Issue 1, pp 44–58 | Cite as

Degenerate r-Stirling Numbers and r-Bell Polynomials

  • T. KimEmail author
  • Y. Yao
  • D. S. Kim
  • G. -W. Jang


The purpose of this paper is to exploit umbral calculus in order to derive some properties, recurrence relations, and identities related to the degenerate r-Stirling numbers of the second kind and the degenerate r-Bell polynomials. Especially, we will express the degenerate r-Bell polynomials as linear combinations of many well-known families of special polynomials.


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Department of Mathematics, College of ScienceTianjin Polytechnic UniversityTianjin CityChina
  2. 2.Department of MathematicsKwangwoon UniversitySeoulRepublic of Korea
  3. 3.Institute of Fundamental SciencesUniversity of Electronic Science and TechnologyChengduChina
  4. 4.Department of MathematicsSogang UniversitySeoulRepublic of Korea

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