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Bibliographic Details
Main Author: Patkowski, Alexander E.
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2111.06256
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Table of Contents:
  • We offer a proof of a summation formula equivalent to one due to Berndt. Our proof uses the M$\ddot{u}$ntz formula and the Poisson summation formula. By utilizing known properties of Mellin inversion, we give an example from a discontinuous function. Several new applications are offered as corollaries.