A Note on the (h,q)-Extension of Bernoulli Numbers and Bernoulli Polynomials

被引：0

作者：

Ryoo, C. S. ^{[1
]}

Kim, T. ^{[2
]}

机构：

[1] Hannam Univ, Dept Math, Taejon 306791, South Korea

[2] Kwangwoon Univ, Div Gen Educ Math, Seoul 139701, South Korea

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2010年 / 2010卷

关键词：

Q-EULER NUMBERS;

D O I：

10.1155/2010/807176

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We observe the behavior of roots of the (h,q)-extension of Bernoulli polynomials B-n,q((h))(x). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q-extension of Bernoulli polynomials B-n,q((h))(x). The main purpose of this paper is also to investigate the zeros of the (h,q)-extension of Bernoulli polynomials B-n,q((h))(x). Furthermore, we give a table for the zeros of the (h,q)-extension of Bernoulli polynomials B-n,q((h))(x).

引用

页数：11

共 14 条

[1] A Note on Symmetric Properties of the Twisted q-Bernoulli Polynomials and the Twisted Generalized q-Bernoulli Polynomials
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[5] On a class of two dimensional (w, q)-Bernoulli and (w, q)-Euler polynomials: Properties and location of zeros
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[6] ON THE q-EXTENSION OF THE TWISTED GENERALIZED EULER NUMBERS AND POLYNOMIALS ATTACHED TO χ
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[7] Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials
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[8] Some Relations between Twisted (h, q)-Euler Numbers with Weight α and q-Bernstein Polynomials with Weight α
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[9] q-EULER NUMBERS AND POLYNOMIALS ASSOCIATED WITH MULTIPLE q-ZETA FUNCTIONS
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[10] A note on the generalized q-Euler numbers (2)
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