Geodesic
Degenerate ordered Bell numbers and polynomials associated with umbral calculus
Kim, Taekyun 1 ; Kim, Dae San 2 ; Jang, Gwan-Woo 3 ; Jang, Lee-Chae 4
1 Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300160, China;Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
2 Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
3 Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
4 Graduate School of Education, Konkuk University, Seoul 143-701, Republic of Korea
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 10, p. 5142-5155.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.10.02
Classification : 11B68, 11B83, 05A40
Keywords: Degenerate ordered Bell polynomial, umbral calculus, Euler polynomials

Kim, Taekyun  1 ; Kim, Dae San  2 ; Jang, Gwan-Woo  3 ; Jang, Lee-Chae  4

1 Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300160, China;Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
2 Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
3 Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea
4 Graduate School of Education, Konkuk University, Seoul 143-701, Republic of Korea 
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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 its applications, Tome 10 (2017) no. 10, p. 5142-5155. doi : 10.22436/jnsa.010.10.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.10.02/

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