This Python program uses SymPy to compute the Laplace transform and Inverse Laplace transform of various mathematical expressions. The program supports standard functions as well as special functions ...

\@writefile{toc}{\contentsline {section}{\numberline {7.1}The big idea}{92}{section.7.1}} \@writefile{toc}{\contentsline {section}{\numberline {7.2}Finding Laplace ...

Bell polynomials have already been used in many different fields, ranging from number theory to operator theory. Here another application in Laplace Transform (LT) theory is shown, describing a method ...

Differential Equations,Fourier Series,Fourier Transform,Frequency Response Function,Fréchet Differentiable,Heaviside Function,Laplace Transform,Linear System,Memory ...

The definite integral $M(a)\coloneq \frac{4}{\pi}\int_{0}^{\pi /2}\frac{x^{2}dx}{x^{2}+\text{ln}^{2}(2e^{-a}\text{cos}x)}$ is related to the Laplace transform of the ...

ABSTRACT: In this manuscript, a proof for the age-old Riemann hypothesis is delivered, interpreting the Riemann Zeta function as an analytical signal, and using a signal analyzing affine model used in ...