文章基本信息

标题：A Note on the <svg style="vertical-align:-3.294pt;width:47.599998px;" id="M1" height="19.5375" version="1.1" viewBox="0 0 47.599998 19.5375" width="47.599998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.5375)"> <g transform="translate(72,-56.37)"> <text transform="matrix(1,0,0,-1,-71.95,59.7)"> <tspan style="font-size: 17.93px; " x="0" y="0">(</tspan> <tspan style="font-size: 17.93px; " x="5.9716892" y="0">ℎ</tspan> <tspan style="font-size: 17.93px; " x="16.319031" y="0">,</tspan> <tspan style="font-size: 17.93px; " x="23.779158" y="0">𝑞</tspan> <tspan style="font-size: 17.93px; " x="31.992472" y="0">)</tspan> </text> </g> </g> </svg>-Extension of Bernoulli Numbers and Bernoulli Polynomials
本地全文：下载
作者：C. S. Ryoo ; T. Kim
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2010
卷号：2010
DOI：10.1155/2010/807176
出版社：Hindawi Publishing Corporation
摘要：We observe the behavior of roots of the (ℎ,𝑞)-extension of Bernoulli polynomials 𝐵(ℎ)𝑛,𝑞(𝑥). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q-extension of Bernoulli polynomials 𝐵(ℎ)𝑛,𝑞(𝑥). The main purpose of this paper is also to investigate the zeros of the (ℎ,𝑞)-extension of Bernoulli polynomials 𝐵(ℎ)𝑛,𝑞(𝑥). Furthermore, we give a table for the zeros of the (ℎ,𝑞)-extension of Bernoulli polynomials 𝐵(ℎ)𝑛,𝑞(𝑥).