Some identities related to degenerate Stirling numbers of the second kind

Author:

Kim Taekyun1,Kim Dae San2,Kim Hye Kyung3

Affiliation:

1. Department of Mathematics, Kwangwoon University , Seoul 139-701 , Republic of Korea

2. Department of Mathematics, Sogang University , Seoul 121-742 , Republic of Korea

3. Department Of Mathematics Education, Daegu Catholic University , Gyeongsan 38430 , Republic of Korea

Abstract

Abstract The degenerate Stirling numbers of the second kind were introduced as a degenerate version of the ordinary Stirling numbers of the second kind. They appear very frequently when one studies various degenerate versions of some special numbers and polynomials. The aim of this article is to further study some identities and properties related to the degenerate Stirling numbers of the second kind, in connection with the degenerate Bell polynomials, the degenerate Fubini polynomials, the degenerate Bernoulli polynomials, and the degenerate Euler polynomials.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference25 articles.

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2. L. Carlitz, A degenerate Staudt-Clausen theorem. Arch. Math. (Basel) 7 (1956), 28–33.

3. S. Araci, A new class of Bernoulli polynomials attached to polyexponential functions and related identities. Adv. Stud. Contemp. Math. 31 (2021), no. 2, 195–204.

4. M. Acikgoz and U. Duran, Unified degenerate central Bell polynomials. J. Math. Anal. 11 (2020), no. 2, 18–33.

5. D. S. Kim and T. Kim, A note on a new type of degenerate Bernoulli numbers. Russ. J. Math. Phys. 27 (2020), no. 2, 227–235.

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