Work

Generalization of the Laplace Transform of Powers of the sinc function

Year: 2025

Type: article

Abstract: In this work, general expressions are found for the Laplace transform of \[L\left(\frac{\sin^m(at)}{t^n}\right) \quad \text{or} \quad L\left(\frac{\sin^n(t)\,\sin^m(at)}{t^p}\right).\] The results are expressed in terms of usual functions such as logarithms, arctangent, and rational functions. Thus, these expressions can be incorporated into the general literature to facilitate the calculation of Laplace transforms. In addition, the results of the article can be implemented in different mathematical software for a direct calculation of such transforms or to study the analytical properties of these transforms more directly.

Source: Scientia Series A: Mathematical Sciences

DOI: 10.71712/p5cn-sn64

Author: Zurita, Rimer

Institution: Universidad Mayor de San Simón

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7079529975

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