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正交Hermite-Padé表中沿对角递推公式
Diagonal recursive formula on orthogonal Hermite-Padé table
【摘要】 文章首先建立了正交多项式序列中任意两项乘积的公式,然后在正规性条件下,在s维正交H-P(Hermite-Padé)表中沿对角线递推地构造正交H-P多项式序列,解决了正交H-P多项式的计算问题,并给出了余项估计式。
【Abstract】 The product formula of any two polynomials in an orthogonal polynomial sequence is first established.Under the condition of regularity,the orthogonal Hermite-Padé(H-P)form sequences are recursively constructed along the diagonal in the s-dimensional orthogonal H-P table.This solves the calculation problem of orthogonal H-P table.And the corresponding remainder estimation formula is given.
【关键词】 正交多项式;
唯一性;
Hermite-Padé逼近;
Hermite-Padé表;
对角递推公式;
【Key words】 orthogonal polynomial; uniqueness; Hermite-Padé approximation; Hermite-Padé table; diagonal recursive formula;
【Key words】 orthogonal polynomial; uniqueness; Hermite-Padé approximation; Hermite-Padé table; diagonal recursive formula;
【基金】 安徽省省级质量工程专业综合改革试点资助项目(2012zy007);名师工作室资助项目(2015msgzs126)
- 【文献出处】 合肥工业大学学报(自然科学版) ,Journal of Hefei University of Technology(Natural Science) , 编辑部邮箱 ,2017年10期
- 【分类号】O174.41
- 【下载频次】17