A numerical investigation on the zeros of the Genocchi polynomials

被引：3
作者：
Ryoo C.S. [1 ]
机构：
[1] Department of Mathematics, Hannam University, Daejeon
来源：
Journal of Applied Mathematics and Computing | 2006年 / 22卷 / 1-2期
关键词：
Euler numbers; Euler polynomials; Genocchi numbers; Genocchi polynomials; Numerical experiments;
D O I：
10.1007/BF02896465
中图分类号：
学科分类号：
摘要：
It is the aim of this paper to introduce the Genocchi numbers G n and polynomials Gn(x) and to display the shape of Genocchi polynomials Gn(x). Finally, we investigate the roots of the Genocchi polynomials Gn(x). © 2006 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
引用
收藏
页码：125 / 132
页数：7
相关论文
共 50 条
  • [31] Properties of Multivariable Hermite Polynomials in Correlation with Frobenius-Genocchi Polynomials
    Wani, Shahid Ahmad
    Oros, Georgia Irina
    Mahnashi, Ali M.
    Hamali, Waleed
    MATHEMATICS, 2023, 11 (21)
  • [32] Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers
    Deb, Bishal
    Sokal, Alan D.
    ADVANCES IN APPLIED MATHEMATICS, 2024, 161
  • [33] Elliptic extensions for the Apostol-Genocchi polynomials
    Luo, Qiu-Ming
    UTILITAS MATHEMATICA, 2015, 96 : 217 - 232
  • [34] Degenerate Changhee-Genocchi numbers and polynomials
    Byung Moon Kim
    Lee-Chae Jang
    Wonjoo Kim
    Hyuck-In Kwon
    Journal of Inequalities and Applications, 2017
  • [35] Fourier Series for Bernoulli-Type Polynomials, Euler-Type Polynomials and Genocchi-Type Polynomials of Integer Order
    Corcino, Cristina B.
    Corcino, Roberto B.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (04): : 1662 - 1682
  • [36] An Extension of Apostol Type of Hermite-Genocchi Polynomials and their Probabilistic Representation
    El-Desouky, Beih S.
    Gomaa, Rabab S.
    Magar, Alia M.
    FILOMAT, 2022, 36 (07) : 2269 - 2280
  • [37] Calculating zeros of the second kind Euler polynomials
    Ryoo, C. S.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (04) : 828 - 833
  • [38] New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials
    Veli Kurt
    Advances in Difference Equations, 2014
  • [39] CAS wavelets analytic solution and Genocchi polynomials numerical solutions for the integral and integro-differential equations
    Shiralashetti, S. C.
    Kumbinarasaiah, S.
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (03) : 201 - 218
  • [40] A new generalization of Apostol type Hermite-Genocchi polynomials and its applications
    Araci, Serkan
    Khan, Waseem A.
    Acikgoz, Mehmet
    Ozel, Cenap
    Kumam, Poom
    SPRINGERPLUS, 2016, 5
12345