Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials

被引：12
|
作者：
Araci, Serkan [1 ]
Ozer, Ozen [2 ]
机构：
[1] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, TR-27410 Gaziantep, Turkey
[2] Kirklareli Univ, Fac Sci & Arts, Dept Math, TR-39000 Kirklareli, Turkey
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
关键词：
Dedekind sums; q-Dedekind-type sums; p-adic q-integral; extended q-Euler numbers and polynomials; Q-ANALOG;
D O I：
10.1186/s13662-015-0610-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we aim to specify a p-adic continuous function for an odd prime inside a p-adic q-analog of the extended Dedekind-type sums of higher order according to extended q-Euler polynomials (or weighted q-Euler polynomials) which is derived from a fermionic p-adic q-deformed integral on Z(p).
引用
收藏
页数：5
相关论文
共 41 条
  • [11] Some Identities on Bernstein Polynomials Associated with q-Euler Polynomials
    Bayad, A.
    Kim, T.
    Lee, B.
    Rim, S. -H.
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [12] A note on the Barnes-type q-Euler polynomials
    Lee-Chae Jang
    Jeong Gon Lee
    Advances in Difference Equations, 2015
  • [13] A note on the Barnes-type q-Euler polynomials
    Jang, Lee-Chae
    Lee, Jeong Gon
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [14] A Note on Type 2 Degenerate q-Euler Polynomials
    Kim, Taekyun
    Kim, Dae San
    Kim, Han Young
    Pyo, Sung-Soo
    MATHEMATICS, 2019, 7 (08)
  • [15] A note on type 2 q-Bernoulli and type 2 q-Euler polynomials
    Dae San Kim
    Taekyun Kim
    Han Young Kim
    Jongkyum Kwon
    Journal of Inequalities and Applications, 2019
  • [16] A note on type 2 q-Bernoulli and type 2 q-Euler polynomials
    Kim, Dae San
    Kim, Taekyun
    Kim, Han Young
    Kwon, Jongkyum
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [17] q-EULER NUMBERS AND POLYNOMIALS ASSOCIATED WITH MULTIPLE q-ZETA FUNCTIONS
    Kim, Taekyun
    Jang, Lee-Chae
    Lee, Byungje
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (04) : 642 - 653
  • [18] MULTIPLICATION FORMULA AND (w, q)-ALTERNATING POWER SUMS OF TWISTED q-EULER POLYNOMIALS OF THE SECOND KIND
    Choi, Ji Eun
    Kim, Ahyun
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2021, 39 (3-4): : 455 - 467
  • [19] On the twisted q-Euler numbers and polynomials associated with basic q-l-functions
    Kim, Taekyun
    Rim, Seog-Hoon
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (01) : 738 - 744
  • [20] q-Euler numbers and polynomials associated with p-adic q-integrals
    Taekyun Kim
    Journal of Nonlinear Mathematical Physics, 2007, 14 : 15 - 27
12345