Browse > Article
http://dx.doi.org/10.14317/jami.2011.29.5_6.1221

SOME IDENTITIES OF THE GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH BERNSTEIN POLYNOMIALS  

Lee, H.Y. (Department of Mathematics, Hannam University)
Jung, N.S. (Department of Mathematics, Hannam University)
Ryoo, C.S. (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.5_6, 2011 , pp. 1221-1228 More about this Journal
Abstract
Recently, several mathematicians have studied some interesting relations between extended q-Euler number and Bernstein polynomials(see [3, 5, 7, 8, 10]). In this paper, we give some interesting identities on the Genocchi polynomials and Bernstein polynomials.
Keywords
Euler numbers and polynomials; Euler numbers and polynomials; Bernstein polynomials;
Citations & Related Records
연도 인용수 순위
  • Reference
1 C.S. Ryoo, Calculating zeros of the twisted Genocchi polynomials, Adv. Stud. Contemp. Math. 17(2008), 147-159.
2 Y. Simsek, Generating functions of the twisted Bernoulli numbers and polynomials asso- ciated with their interpolation functions, Adv. Stud. Contemp. Math. 16(2008), 251-257.
3 T. Kim, J. Choi, Y. H. Kim, C. S. Ryoo, On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials, J. Inequal. Appl. 2010(2010), Article ID 864247, 12pp.
4 C. S. Ryoo, On the generalized Barnes type multiple q-Euler polynomials twisted by ramified roots of unity, Proc. Jangjeon Math. Soc. 13(2010), 255-263.
5 C. S. Ryoo, Some relations between twisted q-Euler numbers and Bernstein polynomials, to appear in Adv. Stud. Contemp. Math.
6 T. Kim, On the multiple q-Genocchi numbers and polynomials, J. Inequal. Appl. 2007(2007), Art ID 71452, 8pp.
7 C.S. Ryoo, A numerical computation on the structure of the roots of q-extension of Genocchi polynomials, Applied Mathematics Letters 21(2008), 348-354.   DOI   ScienceOn
8 T.Kim, L.C. Jang, H. Yi, A note on the modified q-Bernstein polynomials, Discrete Dy- namics in Nature and Society 2010(2010), Article ID 706483, 12pp.
9 Y. Simsek, M. Acikgoz, A new generating function of q-Bernstein-type polynomials and their interpolation function, Abstract and Applied Analysis 2010(2010), Article ID 769095, 12pp.
10 L. C. Jang, W.-J. Kim, Y. Simsek, A study on the p-adic integral representation on Zp associated with Bernstein and Bernoulli polynomials, Advances in Difference Equations 2010(2010), Article ID 163217, 6pp.
11 T. Kim, Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on $Z_p$ Russian Journal of Mathematical physics 16(2009), 484-491.
12 T. Kim, Some identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials, Adv. Stud. Contemp. Math. 20(2010), 23-28.
13 T. Kim, Note on the Euler numbers and polynomials, Adv. Stud. Contemp. Math. 17(2008), 131-136