论文信息 - THE RIEMANN ZETA FUNCTION USED IN THE INVERSION OF THE LAPLACE TRANSFORM

THE RIEMANN ZETA FUNCTION USED IN THE INVERSION OF THE LAPLACE TRANSFORM

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.

A. Al-Shuaibi | Abdulaziz Al-Shuaibi

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