Generalized contour integral representation of the finite part

Authors

Kenneth Jhon Mora Remo ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The contour integral representation of the finite part was generalized for the case of pole (ν = 0) and branch point (ν ≠ 0) singularity by considering an arbitrarily oriented contour of intregration. The generalized representation also satisfies the term by term integration of a Stieltjes integral.

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Issue

2020: Proceedings of the 38th Samahang Pisika ng Pilipinas Physics Conference

Shedding light on the pandemic through the lens of physics
Pagtanglaw sa pandemya sa lente ng pisika
19-23 October 2020

This is the first fully online SPP Physics Conference. Please visit the SPP2020 activity webpage for more information on this year's Physics Congress.

Article ID

SPP-2020-1F-03

Section

Theoretical and Mathematical Physics (Short Presentations)

Published

2020-10-19

How to Cite

[1]

KJM Remo and EA Galapon, Generalized contour integral representation of the finite part, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-1F-03 (2020). URL: https://proceedings.spp-online.org/article/view/SPP-2020-1F-03.