The Riemann zeta function used in the inversion of the Laplace transform

被引：4

作者：

Al-Shuaibi, A ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dhahran 31261, Saudi Arabia

来源：

INVERSE PROBLEMS | 1998年 / 14卷 / 01期

关键词：

D O I：

10.1088/0266-5611/14/1/002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Laguerre polynomials. The main contribution of our work is the development of a new and very effective method to evaluate the Laguerre coefficients with the use of the Riemann zeta function. Some examples are illustrated.

引用

页码：1 / 7

页数：7

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