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http://dx.doi.org/10.14317/jami.2016.107

SYMMETRIC PROPERTIES FOR GENERALIZED TWISTED q-EULER ZETA FUNCTIONS AND q-EULER POLYNOMIALS  

JUNG, N.S. (Department of Mathematics, Hannam University)
RYOO, C.S. (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.34, no.1_2, 2016 , pp. 107-114 More about this Journal
Abstract
In this paper we give some symmetric property of the generalized twisted q-Euler zeta functions and q-Euler polynomials.
Keywords
generalized twisted q-Euler numbers and polynomials; generalized twisted q-Euler zeta function; symmetric property; power sum;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 D. Kim, T. Kim, S.-H. Lee, J.-J. Seo, Symmetric Identities of the q-Euler Polynomials, Adv. Studies Theor. Phys. 7 (2014), 1149-1155.
2 N.S. Jung, C.S. Ryoo, Symmetric identities for twisted q-Euler zeta functions, J. Appl. Math. & Informatics 33 (2015), 649-656.   DOI
3 J.Y. Kang, C.S. Ryoo, On Symmetric Property for q-Genocchi Polynomials and Zeta Func-tion, Int. Journal of Math. Analysis 8 (2014), 9-16.   DOI
4 Yuan He, Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials, Advances in Difference Equations 246 (2013), 10 pages.
5 T. Kim, q-Euler numbers and polynomials associated with p-adic q-integrals, J. Nonlinear Math. Phys. 14 (2007), 15-27.   DOI
6 B.A. Kupershmidt, Reflection symmetries of q-Bernoulli polynomials, J. Nonlinear Math. Phys. 12 (2005), 412-422.   DOI
7 C.S. Ryoo, On the Barnes type multiple q-Euler polynomials twisted by ramified roots of unity, Proc. Jangjeon Math. Soc. 13 (2010), 255-263.
8 C.S. Ryoo, A note on the weighted q-Euler numbers and polynomials, Advan. Stud. Contemp. Math. 21 (2011), 47-54.
9 C.S. Ryoo, Some Identities of Symmetry for Carlitz's Twisted q-Euler Polynomials As-sociated with p-Adic q-Integral on ℤp, Int. Journal of Math. Analysis 9 (2015), 1747 -1753.   DOI
10 C.S. Ryoo, Analytic Continuation of Euler Polynomials and the Euler Zeta Function, Discrete Dynamics in Nature and Society 2014 (2014), Article ID 568129, 6 pages.   DOI
11 C.S. Ryoo, A Note on the Reflection Symmetries of the Genocchi polynomials, J. Appl. Math. & Informatics 27 (2009), 1397-1404.