THE CONVERGENCE OF PADE-TYPE APPROXIMANTS TO HOLOMORPHIC-FUNCTIONS OF SEVERAL COMPLEX-VARIABLES

被引：6

作者：

DARAS, NJ

机构：

[1] Jean Moreas 19, 152 32 Chalandri, Athens

来源：

APPLIED NUMERICAL MATHEMATICS | 1990年 / 6卷 / 05期

关键词：

D O I：

10.1016/0168-9274(90)90025-B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our main purpose is to discuss the convergence of Padé-type approximants to a function which is holomorphic in an open subset Ω of Cn (n>1). If n=1, a general method due to Eiermann gives the basic result [6]. This paper contains: (a) the study of some typical cases: Ω is an open polydisk centered at 0 and Ω=Cn; (b) an answer to the question whether the approximation of a holomorphic function by a sequence of Padé-type approximants is possible; (c) four examples of Padé-type approximants converging to holomorphic functions, if n=2. © 1990.

引用

页码：341 / 360

页数：20

共 12 条

[1] RATIONAL APPROXIMATION TO FORMAL POWER-SERIES [J].