Degenerate ordered Bell numbers and polynomials associated with umbral calculus

Volume 10, Issue 10, pp 5142--5155

Publication Date: 2017-10-12


Taekyun Kim - Department of Mathematics, College of Science Tianjin Polytechnic University, Tianjin 300160, China
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


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.


Degenerate ordered Bell polynomial, umbral calculus, Euler polynomials


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