Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials

被引:88
作者
Bayad, A. [1 ]
Kim, T. [2 ]
机构
[1] Univ Evry Val Essonne, Dept Math, F-91025 Evry, France
[2] Kwangwoon Univ, Seoul 139701, South Korea
关键词
NUMBERS;
D O I
10.1134/S1061920811020014
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we give relations involving values of q-Bernoulli, q-Euler, and Bernstein polynomials. Using these relations, we obtain some interesting identities on the q-Bernoulli, q-Euler, and Bernstein polynomials.
引用
收藏
页码:133 / 143
页数:11
相关论文
共 22 条
  • [1] ACIKGOZ M, 2010, IST T APPL MATH MODE, V1, P10
  • [2] [Anonymous], ADV STUD CONTEP MATH
  • [3] BAYAD A, SOME IDENTITIE UNPUB
  • [4] Bernstein S., 1912, Comm. Soc. Math. Kharkov, V13, P1
  • [5] Cangul I. N.., 2009, Advanced Studies in Contemporary Mathematics, V19, P39
  • [6] COULD HW, 1958, MATH MAG, V31, P259
  • [7] Govil N. K., 2009, Advanced Studies in Contemporary Mathematics, V19, P97
  • [8] JANG LC, 2010, ADV DIFFER EQU-NY
  • [9] Joy K I., On-line geometric modeling notes
  • [10] q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
    Kim, T.
    [J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2008, 15 (01) : 51 - 57