Degenerate ordered Bell numbers and polynomials associated with umbral calculus
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Authors
Taekyun Kim
- Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300160, China.
- Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea.
Dae San Kim
- Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea.
Gwan-Woo Jang
- Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea.
Lee-Chae Jang
- Graduate School of Education, Konkuk University, Seoul 143-701, Republic of Korea.
Abstract
In this paper, we study degenerate ordered Bell polynomials with the viewpoint of Carlitz's degenerate Bernoulli and Euler polynomials and derive by using umbral calculus some properties and new identities for the degenerate ordered Bell polynomials associated with special polynomials.
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ISRP Style
Taekyun Kim, Dae San Kim, Gwan-Woo Jang, Lee-Chae Jang, Degenerate ordered Bell numbers and polynomials associated with umbral calculus, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5142--5155
AMA Style
Kim Taekyun, Kim Dae San, Jang Gwan-Woo, Jang Lee-Chae, Degenerate ordered Bell numbers and polynomials associated with umbral calculus. J. Nonlinear Sci. Appl. (2017); 10(10):5142--5155
Chicago/Turabian Style
Kim, Taekyun, Kim, Dae San, Jang, Gwan-Woo, Jang, Lee-Chae. "Degenerate ordered Bell numbers and polynomials associated with umbral calculus." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5142--5155
Keywords
- Degenerate ordered Bell polynomial
- umbral calculus
- Euler polynomials
MSC
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