TY - JOUR AU - Kim, Min-Soo AU - Kim, Daeyeoul PY - 2018 TI - The \(q\)-Stirling numbers of the second kind and its applications JO - Journal of Nonlinear Sciences and Applications SP - 971--983 VL - 11 IS - 8 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.08.04 DO - 10.22436/jnsa.011.08.04 ID - Kim2018 ER -