The \(q\)-Stirling numbers of the second kind and its applications
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Authors
Min-Soo Kim
- Division of Mathematics, Science, and Computers, Kyungnam University, 7(Woryeong-dong) kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do 51767, Republic of Korea.
Daeyeoul Kim
- Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University, Jeonju-si 54896, Republic of Korea.
Abstract
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.
Share and Cite
ISRP Style
Min-Soo Kim, Daeyeoul Kim, The \(q\)-Stirling numbers of the second kind and its applications, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 8, 971--983
AMA Style
Kim Min-Soo, Kim Daeyeoul, The \(q\)-Stirling numbers of the second kind and its applications. J. Nonlinear Sci. Appl. (2018); 11(8):971--983
Chicago/Turabian Style
Kim, Min-Soo, Kim, Daeyeoul. "The \(q\)-Stirling numbers of the second kind and its applications." Journal of Nonlinear Sciences and Applications, 11, no. 8 (2018): 971--983
Keywords
- \(q\)-Stirling numbers of the second kind
- \(q\)-factorial
MSC
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