A note on the inverse Laplace transform

A Note on Double Laplace Transform and Telegraphic Equations

and Applied Analysis 3 Was first verify (I) as L x L t [e −dx−ct f (x, t)] (p, s)

A note on the comparison between Laplace and Sumudu transforms

Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems

In this paper, inverse Laplace transform method is applied to analytical solution of the fractional Sturm-Liouville problems. The method introduces a powerful tool for solving the eigenvalues of the fractional Sturm-Liouville problems. The results  how that the simplicity and efficiency of this method.

A Note on the Laplace Transform of the Square in the Circle Problem

If P (x) is the error term in the circle problem, then it is proved that ∫ ∞ 0 P (x)e dx = 1 4 (

On the Inverse Laplace-stieltjes Transform of A-stable Rational Functions

Let r be an A-stable rational approximation of the exponential function of order q ≥ 1 and let t > 0. It is shown that the inverse LaplaceStieltjes transforms αn : s→ αn∗(ns t ) of rn(z) := r n( tz n ) converge in Lp(R+) to the Heaviside function Ht with a rate of t1/pn−1/2p(ln(n+1))1−1/p. Moreover, for 0 ≤ k ≤ q, the k-th antiderivatives of αn converge in Lp(R+) to the k-th antiderivative of t...