Work

Inverse Laplace Transform of F(p) = arctan (1/p²) Using the Kyungu Formula: Analytical Series and Closed-Form Expression

Year: 2025

Type: article

Abstract: 🇬🇧 Description: This article presents the application of the Kyungu Formula to the inverse Laplace transform of the function F(p)= arctan(1/p²). A power series expression is obtained and then simplified into a closed-form expression involving hyperbolic and trigonometric functions. This original result highlights the efficiency of the Kyungu Formula in analytically computing complex inverse Laplace transforms.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.16190286

Author: Kyungu, Pathy (Path)

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6912034199

FWCI:

Cites:

Cited by:

Related to: