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

🇬🇧 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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-07-20
DOI
https://doi.org/10.5281/zenodo.16190287
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
article

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

article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Laboratoire Génie Industriel (FR)
Openalex Percentile: Top 44%
Algebraic and Geometric Analysis
DOIOpen Access PDFOpenAlex
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Inverse Laplace Transform of F(p) = arctan (1/p²) Using the Kyungu Formula: Analytical Series and Closed-Form Expression · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS