In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable...

In mathematics, the inverse Laplace transform of a function F ( s ) {\displaystyle F(s)} is the piecewise-continuous and exponentially-restricted[clarification...

following is a list of Laplace transforms for many common functions of a single variable. The Laplace transform is an integral transform that takes a function...

Laplace transform or bilateral Laplace transform is an integral transform equivalent to probability's moment-generating function. Two-sided Laplace transforms...

representation. It can be considered a discrete-time equivalent of the Laplace transform (the s-domain or s-plane). This similarity is explored in the theory...

Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is...

Laplace–Stieltjes transform, named for Pierre-Simon Laplace and Thomas Joannes Stieltjes, is an integral transform similar to the Laplace transform....

probability was developed mainly by Laplace. Laplace formulated Laplace's equation, and pioneered the Laplace transform which appears in many branches of...

like the Fourier transform. The major difference is that the Laplace transform has a region of convergence for which the transform is valid. This implies...

distributions. The Laplace transform of the Heaviside step function is a meromorphic function. Using the unilateral Laplace transform we have: H ^ ( s )...