%0 Journal Article %T Degenerate Stirling Polynomials of the Second Kind and Some Applications %J Symmetry | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/sym11081046 %X Recently, the degenerate ¦Ë -Stirling polynomials of the second kind were introduced and investigated for their properties and relations. In this paper, we continue to study the degenerate ¦Ë -Stirling polynomials as well as the r-truncated degenerate ¦Ë -Stirling polynomials of the second kind which are derived from generating functions and Newton¡¯s formula. We derive recurrence relations and various expressions for them. Regarding applications, we show that both the degenerate ¦Ë -Stirling polynomials of the second and the r-truncated degenerate ¦Ë -Stirling polynomials of the second kind appear in the expressions of the probability distributions of appropriate random variables. View Full-Tex %U https://www.mdpi.com/2073-8994/11/8/1046