Generalized contour integral representation of the finite part

Authors

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

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.