Applications of Probabilistic Methods on Some Stirling Sequences

  • Xin Wang School of Mathematical Sciences, Inner Mongolia University, Hohhot, China
  • Wuyungaowa . School of Mathematical Sciences, Inner Mongolia University, Hohhot, China
Keywords: Moment; Probabilistic method; Generating function; Generalized Stirling numbers; λ-analogues of r-Stirling numbers of the first kind

Abstract

In this paper, we investigate some combinatorial sequences based on the generalized Stirling numbers and the λ-analogues of r-Stirling numbers of the first kind, then derive their moment representations in use of probabilistic methods. We also provide identities related to r-Stirling numbers of the first kind, Stirling numbers and Daehee numbers.

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References

[1] Nanding, Wuyungaowa. Some Identities Involving the Higher Order Changhee Numbers and Polynomials. J. Journal of Applied Mathematics and Physics,064647-656, 2018.
[2] G. S. Cheon, M. E. A. El-Mikkawy. Generalized harmonic numbers with Riordan arrays. J. Journal of Number Theory,128(2):413-425, 2008.
[3] Kim T , Kim D S . λ − analogues of r-Stirling numbers of the first kind[J].11:73-83, 2018.
[4] P Sun , T Wang. Probabilistic Representation with Application of Stirling Numbers. J. Journal of Mathematics,1998.
[5] E Lukacs. Characteristic Function. M. Charles Griffin Company Limited,London,1960.
[6] Chang Liu. Probability method and combinatorial identity. D. Inner Mongolia University, 2018.
Published
2021-11-24
How to Cite
Wang, X., & ., W. (2021). Applications of Probabilistic Methods on Some Stirling Sequences. Journal of Progressive Research in Mathematics, 18(4), 85-96. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/2106
Section
Articles