A numerical computation of the roots of q-Euler polynomials

被引:0
|
作者
Ryoo, C. S. [1 ]
机构
[1] Hannam Univ, Dept Math, Taejon 306791, South Korea
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Recently several authors studied the q-extension of Eider numbers and polynomials(see [1-8]). In this paper we construct the q-Euler number E(n,q) and Polynomials E(n,q)(x). We also observe the behavior of complex roots of the q-Euler polynomials E(n,q)(s), Using numerical investigation. By means of numerical experiments, we demonstrate a. remarkably regular structure of the complex roots of the q-Euler polynomials E(n,q)(x). Finally, we give a table for the, solutions of the q-Euler polynomials E(n,q)(x).
引用
收藏
页码:148 / 156
页数:9
相关论文
共 50 条
  • [1] A NUMERICAL INVESTIGATION OF THE STRUCTURE OF THE ROOTS OF THE SECOND KIND q-EULER POLYNOMIALS
    Ryoo, C. S.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (02) : 321 - 327
  • [2] Degenerate q-Euler polynomials
    Taekyun Kim
    Dae San Kim
    Dmitry V Dolgy
    Advances in Difference Equations, 2015
  • [3] Degenerate q-Euler polynomials
    Kim, Taekyun
    Kim, Dae San
    Dolgy, Dmitry V.
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [4] Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function
    Ryoo, C. S.
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [5] On the modified q-Euler polynomials with weight
    Seog-Hoon Rim
    Jin-Woo Park
    Jongkyum Kwon
    Sung-Soo Pyo
    Advances in Difference Equations, 2013
  • [6] A NOTE ON THE MODIFIED q-EULER POLYNOMIALS
    Kwon, JongKyum
    Park, Jin-Woo
    Pyo, Sung-Soo
    Rim, Seog-Hoon
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2013, 31 (02): : 107 - 117
  • [7] On the modified q-Euler polynomials with weight
    Rim, Seog-Hoon
    Park, Jin-Woo
    Kwon, Jongkyum
    Pyo, Sung-Soo
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [8] SYMMETRIC PROPERTIES FOR GENERALIZED TWISTED q-EULER ZETA FUNCTIONS AND q-EULER POLYNOMIALS
    Jung, N. S.
    Ryoo, C. S.
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2016, 34 (1-2): : 107 - 114
  • [9] On a class of q-Bernoulli and q-Euler polynomials
    Mahmudov, Nazim I.
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [10] On a class of q-Bernoulli and q-Euler polynomials
    Nazim I Mahmudov
    Advances in Difference Equations, 2013