(0,1, …, m - 2, m) INTERPOLATION FOR THE LAGUERREABSCISSAS

作     者：Shi Ying-guang (Computing Center, Academia Sinica, Beijing, China) 

作者机构：CHINESE ACAD SCICTR COMPBEIJINGPEOPLES R CHINA 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：1994年第12卷第3期

页      面：123-131页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：The Project Supported by National Natural Science Foundation of China 

主　　题：INTERPOLATION FOR THE LAGUERREABSCISSAS 

摘      要：A necessary and sufficient condition of regularity of (0,1,…, m - 2, m) interpo-lation on the zeros of the Laguerre polynomials Ln(α) (x) (α≥ -1) in a manageable form is established. Meanwhile, the explicit representation of the fundamental polynomials, when they exist, is given. Moreover, it is shown that, if the problem of (0,1,…, m - 2, TO) interpolation has an infinity of solutions, then the general form of the solutions is f0(x) + Cf1(x) with an arbitrary constant C.