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Laurent多项式及其零点
  • ISSN号：2095-2651
  • 期刊名称：《数学研究及应用：英文版》
  • 时间：0
  • 分类：O174.21[理学—数学;理学—基础数学]
  • 作者机构：[1]北京师范大学数学科学学院,北京100875, [2]大连理工大学数学研究所,辽宁大连 116024
  • 相关基金：NNSF of China （10271022, 60373093, 69973010）, the NSF of Guangdong Province （021755）
作者： 周恒[1], 王仁宏[2]
关键词： Laurent多项式, 求积公式, Laurent多项式的零点, orthogonal Laurent polynomials, quadrature rule, zeros of orthogonal Laurent polynomials.
中文摘要：

本文给出了测度dψ为强分布的一个必要条件，并得到了dψ为强分布时的Laurent多项式最大零点的一个表示．

英文摘要：

In this note, we investigate the necessity for the measure dψ being a strong distribution, which is associated with the coefficients of the recurrence relation satisfied by the orthogonal Laurent polynomials. We also give out a representation of the greatest zeros of orthogonal Laurent polynomials in the case of dψ being a strong distribution.

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期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊
  • 被引量:36