A HILBERT-PADE METHOD FOR MULTIPOLE APPROXIMATIONS - APPLICATION TO THE GAUSSIAN FUNCTION

被引：4

作者：

MARTIN, P ^{[1
]}

ZAMUDIOCRISTI, J ^{[1
]}

DONOSO, G ^{[1
]}

机构：

[1] UNIV METROPOLITANA CARACAS,DEPT FIS,CARACAS,VENEZUELA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 06期

关键词：

D O I：

10.1063/1.524583

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method is developed where a Hilbert transform is combined with an asymptotic Padé method in order to obtain good multipole approximations for functions whose power series have a large radius of convergence. This method has been used to find two- to eight-pole approximations for the Gaussian function. © 1980 American Institute of Physics.

引用

页码：1332 / 1335

页数：4

共 7 条

[1]

BAKER GA, 1975, ESSENTIALS PADES APP

[2]

FRIED BD, 1978, PHYS FLUIDS, V11, P249

[3] BOREL SUMMABILITY - APPLICATION TO ANHARMONIC OSCILLATOR [J].