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arXiv · 1202.5457

On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function

S. M. Abrarov·B. M. Quine·R. K. Jagpal
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Abstract

In this short note we show the equivalence of Fourier expansion and Poisson summation approaches for the series approximation of the exponential function $\exp ({-{t^2}/4})$. The application of the Poisson summation formula is shown to reduce to that of the Fourier expansion method.

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S. M. Abrarov, B. M. Quine, R. K. Jagpal. 2012-02-14. On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function. https://arxiv.org/abs/1202.5457

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