%0 Journal Article %T The \(q\)-Stirling numbers of the second kind and its applications %A Kim, Min-Soo %A Kim, Daeyeoul %J Journal of Nonlinear Sciences and Applications %D 2018 %V 11 %N 8 %@ ISSN 2008-1901 %F Kim2018 %X The study of \(q\)-Stirling numbers of the second kind began with Carlitz [L. Carlitz, Duke Math. J., \(\textbf{15}\) (1948), 987--1000] in 1948. Following Carlitz, we derive some identities and relations related to \(q\)-Stirling numbers of the second kind which appear to be either new or else new ways of expressing older ideas more comprehensively. %9 journal article %R 10.22436/jnsa.011.08.04 %U http://dx.doi.org/10.22436/jnsa.011.08.04 %P 971--983