Trigonometric Series via Laplace Transforms
C. J. Efthimiou
TL;DR
This paper extends a Laplace transform-based method to evaluate a wide range of convergent trigonometric series exactly, providing a novel analytical approach for such series.
Contribution
It introduces an extension of the Laplace transform technique specifically for trigonometric series, enhancing the toolkit for exact series evaluation.
Findings
Exact values for various trigonometric series obtained
Method applicable to a large class of convergent series
Provides a new analytical framework for series evaluation
Abstract
The author's method (math-ph/9804010) that uses the Laplace transform to find exact values for a large class of convergent series is extended to trigonometric series.
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Taxonomy
TopicsScientific Research and Discoveries · Modeling and Simulation Systems · Experimental and Theoretical Physics Studies