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Degenerate s-Extended Complete and Incomplete Lah-Bell Polynomials

Hye Kyung Kim1,*, Dae Sik Lee2

1 Department of Mathematics Education, Daegu Catholic University, Gyeongsan, 38430, Korea
2 School of Electronic and Electric Engineering, Daegu University, Gyeongsan, 38453, Korea

* Corresponding Author: Hye Kyung Kim. Email:

(This article belongs to this Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2022, 131(3), 1479-1495.


Degenerate versions of special polynomials and numbers applied to social problems, physics, and applied mathematics have been studied variously in recent years. Moreover, the (s-)Lah numbers have many other interesting applications in analysis and combinatorics. In this paper, we divide two parts. We first introduce new types of both degenerate incomplete and complete s-Bell polynomials respectively and investigate some properties of them respectively. Second, we introduce the degenerate versions of complete and incomplete Lah-Bell polynomials as multivariate forms for a new type of degenerate s-extended Lah-Bell polynomials and numbers respectively. We investigate relations between these polynomials and degenerate incomplete and complete s-Bell polynomials, and derive explicit formulas for these polynomials.


Cite This Article

Kim, H. K., Lee, D. S. (2022). Degenerate s-Extended Complete and Incomplete Lah-Bell Polynomials. CMES-Computer Modeling in Engineering & Sciences, 131(3), 1479–1495.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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