A note on the "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -zeta-type function with weight α

Author:

Cetin Elif,Acikgoz Mehmet,Cangul Ismail Naci,Araci Serkan

Abstract

Abstract The objective of this paper is to derive the symmetric property of an ( h , q ) -zeta function with weight α. By using this property, we give some interesting identities for ( h , q ) -Genocchi polynomials with weight α. As a result, our applications possess a number of interesting properties which we state in this paper. MSC:11S80, 11B68.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference23 articles.

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2. Kim T, Bayad A, Kim YH: A study on the p -adic q -integrals representation on "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" associated with the weighted q -Bernstein and q -Bernoulli polynomials. J. Inequal. Appl. 2011., 2011: Article ID 513821

3. Araci S, Seo JJ, Erdal D:New construction weighted "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -Genocchi numbers and polynomials related to zeta type function. Discrete Dyn. Nat. Soc. 2011., 2011: Article ID 487490. doi:10.1155/2011/487490

4. Bayad A, Kim T: Identities involving values of Bernstein, q -Bernoulli, and q -Euler polynomials. Russ. J. Math. Phys. 2011, 18(2):133–143. 10.1134/S1061920811020014

5. Ryoo CS: Some relations between twisted q -Euler numbers and Bernstein polynomials. Adv. Stud. Contemp. Math. 2011, 21(2):217–223.

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