On Methods for Transforming and Solving Finite Series
Henrik Stenlund
TL;DR
This paper introduces new techniques using Laplace and Fourier transforms to transform and solve finite series efficiently, including a simplified method for quick solutions in certain cases.
Contribution
It presents novel methods based on Laplace and Fourier transforms for solving finite series, along with a simplified approach for faster solutions.
Findings
New Laplace transform-based methods for finite series
Alternative Fourier transform-based method introduced
Simplified approach enables quick solutions in specific cases
Abstract
In this work we present new methods for transforming and solving finite series by using the Laplace transform. In addition we introduce both an alternative method based on the Fourier transform and a simplified approach. The latter allows a quick solution in some cases.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematical and Theoretical Analysis · Advanced Mathematical Identities