NUMERICAL INVERSION OF THE MELLIN TRANSFORM BY ACCELERATED SERIES OF LAGUERRE-POLYNOMIALS

被引：2

作者：

GABUTTI, B ^{[1
]}

SACRIPANTE, L ^{[1
]}

机构：

[1] UNIV TURIN,DIPARTMENTO MATEMAT,I-10123 TURIN,ITALY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1991年 / 34卷 / 02期

关键词：

INVERSE MELLIN TRANSFORM; LAGUERRE POLYNOMIALS SERIES; CONVERGENCE ACCELERATION; EULER-KNOPP TRANSFORMATION;

D O I：

10.1016/0377-0427(91)90041-H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for inverting the Mellin transform which uses an expansion in Laguerre polynomials is considered. A procedure and related algorithm for accelerating the rate of convergence of the series is illustrated. The effectiveness of the new method is shown by means of results of theoretical and practical interest.

引用

页码：191 / 200

页数：10