Science in Developing Countries: Orthogonal Polynomials, Differential Equations, and Difference Equations

发展中国家的科学：正交多项式、微分方程和差分方程

• 批准号: 8803099
• 负责人: Mourad Ismail
• 金额: $ 0.98万
• 依托单位: University of South Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-15 至 1991-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8803099&HistoricalAwards=false
• 关键词: Science; Developing; Countries; Orthogonal; Polynomials

This award will support collaborative research between Professor Mourad Ismail of the University of South Florida in Tampa and Professor Jairo Charris of the National University of Colombia in Bogota, Colombia. The investigators plan to carry out research problems in the following three areas: 1) Differential Equations, 2) Difference Equations, and 3) Orthogonal Polynomials. More specifically, they plan to study a class of differential equations of order 2 with an arbitrary number of regular singular points. They also plan to construct spectral measures of certain families of fourth order difference equations and study orthogonal polynomials arising from discrete Schrodinger operators with quasi periodic potentials. Additionally, they will investigate polynomials orthogonal on several intervals and the distribution and monotonicity of zeros of orthogonal polynomials depending on a parameter. The U.S. investigator is an experienced and respected researcher who has obtained important results in these areas. By helping to bring together Professor Ismail with a promising researcher from a developing country to work on problems of mutual interest, this award fulfills the objectives of the Science in Developing Countries Program.

该奖项将支持教授之间的合作研究 位于坦帕的南佛罗里达大学的穆拉德·伊斯梅尔和 哥伦比亚国立大学的Jairo Charris教授 哥伦比亚，波哥大。 调查人员计划开展研究 以下三个方面的问题：1）微分方程， 2)差分方程，和3）正交多项式。 更 具体地说，他们计划研究一类微分方程， 具有任意数量的正则奇点的二阶函数。 他们还计划构建某些族的谱测度 四阶差分方程的正交性研究 拟离散Schrodinger算子的多项式 周期电位 此外，他们将调查 多区间正交多项式及其分布 正交多项式零点的单调性 参数. 美国调查员是一位经验丰富、受人尊敬的研究人员 世卫组织在这些领域取得了重要成果。 通过帮助 将伊斯梅尔教授和一位来自 发展中国家致力于解决共同利益的问题，这 该奖项实现了科学发展的目标 国家方案。