SOME RESULTS ON DEGENERATE FUBINI AND DEGENERATE BELL POLYNOMIALS

被引:9
作者
Kim, Taekyun [1 ]
Kim, Dae San [2 ]
机构
[1] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
[2] Sogang Univ, Dept Math, Seoul 121742, South Korea
关键词
Degenerate Fubini polynomials; Degenerate Bell polynomials; IDENTITIES; NUMBERS;
D O I
10.2298/AADM200310035K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to further study some properties and identities on the degenerate Fubini and the degenerate Bell polynomials which are degenerate versions of the Fubini and the Bell polynomials, respectively. Especially, we find several expressions for the generating function of the sum of the values of the generalized falling factorials at positive consecutive integers.
引用
收藏
页码:548 / 560
页数:13
相关论文
共 20 条
[1]  
ARACI SERKAN, 2021, Advanced Studies in Contemporary Mathematics, V31, P195
[2]  
BOYADZHIEV K. N., 2020, Discuss. Math. Gen. Algebra Appl., V40, P275
[3]  
Carlitz L., 1979, Utilitas Math, V15, P51
[4]  
CHAE JANG LEE, 2021, Advanced Studies in Contemporary Mathematics, V31, P325
[5]  
Comtet L., 1974, Advanced combinatorics. The art of finite and infinite expansions
[6]  
Furdui O., 2013, LIMITS SERIES FRACTI
[7]   IDENTITIES AND RELATIONS FOR FUBINI TYPE NUMBERS AND POLYNOMIALS VIA GENERATING FUNCTIONS AND p-ADIC INTEGRAL APPROACH [J].
Kilar, Neslihan ;
Simsek, Yilmaz .
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2019, 106 (120) :113-123
[8]   A Note on a New Type of Degenerate Bernoulli Numbers [J].
Kim, D. S. ;
Kim, T. .
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2020, 27 (02) :227-235
[9]  
김택연, 2017, [Proceedings of the Jangjeon Mathematical Society, Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)], V20, P337
[10]  
Kim Hye Kyung, 2022, Advanced Studies in Contemporary Mathematics, V32, P103